(-3) to the sixth power in exponential form

Answers

Answer 1

Answer:

Step-by-step explanation:

A negative number raised to an even exponent gives a positive result so it is the same as 3 raised to 6. That is 3 x 3 x 3 x 3 x 3 x 3 = 729

Answer 2

The (-3) to the sixth power, (-3)⁶, is equal to 729.

To express (-3) to the sixth power in exponential form, we write it as (-3)⁶.

Now, let's calculate (-3)⁶ properly:

(-3)⁶ = (-3) * (-3) * (-3) * (-3) * (-3) * (-3)

Multiplying -3 by itself six times:

(-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729

Therefore, (-3) to the sixth power, (-3)⁶, is equal to 729.

By raising -3 to the power of 6, we obtain the result of 729.


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Related Questions

Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.

Answers

Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

[tex]\frac{18}{2} = 9[/tex]

[tex]\frac{18}{3} = 6[/tex]

[tex]\frac{18}{4} = 4.5[/tex]

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

[tex]\frac{-12}{-6} = 2[/tex]

So, Natalie cards are: 6 card number -6

Find the value of t if the value of 3x+5x –2t equals to 8, when x=- 1

Answers

Answer:

t=-8

Step-by-step explanation:

-3+-5-2t = 8

-8 -2t = 8

t = -8

A cone with a volume of 1152π cubic meters has a radius of 12 meters. Which of these statements is correct?

Select one:

Its height is two thirds the length of its radius.

The length of its radius is twice its height.

The length of its radius is two thirds its height.

Its height is twice the length of its radius.

Answers

Answer:

Step-by-step explanation:

B

Answer: it’s hight is twice the length of its radius

Step-by-step explanation:


A line has a slope of zero. Which of the following points could this line pass through?
A.(-9, 7) and (9,-7)
B(1, 4) and (3,7)
C. (2,-5) and (6,-5)
D.(1, 2) and (10, 12)

Answers

Answer:

C

Step-by-step explanation:

slope 0 means same y

so C (y is -5 for both)

if my answer helps please mark as brainliest.

Answer:

C

Step-by-step explanation:

A line with slope of zero means that the y value doesn't change like the x axis. so we'll need to find points that even though they have different x values, they have the same y value. That. being said C is the answer

JT
Evaluate cot
3
0
2-3
3
V2
0 2
V3
3

Answers

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

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7. Angles that are complementary
add up to 90 degrees. If two
complementary angles are in the
ratio of 4:1. how large is the larger
angle?

Answers

Answer:

72 degrees is the larger angle

Step-by-step explanation:

SImple ratio problem

So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.

4*18: 1*18

72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.

Write an equation in point-slope form.
a. m= -3, (-2,-1)

Answers

y+1=-3(x+2) .. hope this helps!

Find the 31st term 13,22,31,...

Answers

Answer:

The answer is 5

Step-by-step explanation:

Answer: an=9n-5

Step-by-step explanation:

that would leave you with the answer 5 !

i hope this helped! C:

In a class there are x amount of students. z amounts of these students are ( y+1 ) years old. The rest of the students are y years old. Write an expression for the sum of all their ages. Simplify.

Answers

x = y + z

To simplify,

substitute z = y + 1

x = y + y + 1

x = 2y + 1

If there are 420 woman and 330 men what are their %?

Answers

56% women and 44% men. To solve add total number of people (750). Divide the number of men by the number of total people to get the percent of men in decimal form (0.44) and multiply by 100 to get 44%. The remaining 56% is the amount of women.

Answer:

Answer: Pct women = 56%; pct men = 44%

Step-by-step explanation:

Pct men = total men/total people * 100

men = 750-420 = 330

Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%

.

Pct women = 100% - 44% = 56%

.

Check the answer by checking the percentage of women.

women = 420

Pct women = 420/750 * 100 = 14/25 = 56%

Correct.

.

Answer: Pct women = 56%; pct men = 44%

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry I

Answers

Answer:

4/8.1 is the answer.

Step-by-step explanation:

sin Θ = opposite side / hypotenuse

sin ∠F = 4/8.1

Answer: 4/8.1

Step-by-step explanation:

SOH CAH TOA

So son uses opposite and hypotenuse

Opposite from the angle of DFE is 4 and hypotenuse is 8.1 so

sin-1(4/8.1)= angle DFE

Divide. Write your answer as a fraction or a mixed number in simplest form.

3 3/4 divided by 1 1/8

Answers

Answer:

I used a calculator.

Step-by-step explanation:

mixed number form 3 1/3

exact form 10/3

Show me how to solve step by step please

Answers

Answer:

188

Step-by-step explanation:

88 + 6= 94

94 + 94 = 188

188 divided by 2 = 94

94 - 6 = 88

88 was how much Paula paid

Please help me in math

Answers

1. x[tex]\\1. x_{1}=-4, x_{2}=-3\\2. x_{1}=-4, x_{2}=9\\3. x_{1}=-5, x_{2}=8\\4. x_{1}=-4, x_{2}=1.5\\5. x_{1}=-4, x_{2}=4\\6. x_{1}=2, x_{2}=4\\7. x_{1}=1.75, x_{2}=1.75\\8.x_{1}=-\sqrt{7}-6 , x_{2}=\sqrt{7} -6\\9. x_{1}=-2, x_{2}=1\\1. x_{1}=-8, x_{2}=8[/tex]=-4, x2=-3

2.

Find the area of the polygon.

Answers

Answer:400

Step-by-step explanation: 400

Answer:

Solution given:

diagonal 1=AC=5+5=10 units

diagonal 2=BD=4+5=8units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(10*8)=40square units

Area=40square units

easy question answer plssss

Answers

Answer:

Y = 1

Step-by-step explanation:

Proportional

Answer:

y=1

Step-by-step explanation:

Because they are proportional, the two points have to be equal if they were like a fraction. This means (15,3) would be 15/3 which is equal to 5. The other point is (5,?), so that means that the point will have to be 1. This is because then the point will be equal to 5.

Hope this helps

volume of cylinder in terms of pi
6cm radius
5cm height

Answers

Answer: V≈565.49

Step-by-step explanation:

V=πr2h=π·62·5≈565.48668

Describe how to find what value of x must be to minimize the function f(x) = 9x^{2} - 36x + 32 using factoring.

Answers

Answer: x=2, f(x)=-4

Step-by-step explanation:

Given

[tex]f(x)=9x^2-36x+32[/tex]

Solving it, add and subtract 4 to it

[tex]\Rightarrow f(x)=9x^2-36x+36-4\\\Rightarrow f(x)=(3x)^2+(6)^2-2\times 3x\times 6-4\\\Rightarrow f(x)=(3x-6)^2-4\\\\\text{here minimum value of }\ (3x-6)^2\ \text{is 0 for x=2}\\\text{so mnimum value of }\ (3x-6)^2-4\ \text{is}\ -4[/tex]

Answer: after you factor use the results (3x-6)^2 - 4 to find the minimum X value but picking a number for the X value to solve to 0.

Step-by-step explanation:

Plug x=2 into the equation and it solves to 0 leave out the -4 because this is the y value

Find the midpoint of the segment below.

Plz help me

Answers

Answer:

0.5 , 1

Step-by-step explanation:

Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode in the trail for 5 5/6 miles and then rode back home. Which addition sentence shows many miles Gretchen rode in all?

Answers

Answer:

85/12. figure out which one the answer is now, just convert 85/12 to a mix number

Step-by-step explanation:

5/4 + 35/6 = 85/12.

Answer:

The correct answer is D

Step-by-step explanation:

In Las Vegas, a particular sports bet has about a 30% chance of winning. If the bet wins, the bettor will win 15
dollars. If the bet loses, the bettor will lose 10 dollars.
The expected return of placing one of these bets is -2.50 dollars.
Which of the following statements are true?
Choose all answers that apply:
The average return per bet from 2 of these bets must be exactly -2.50 dollars.
It is possible for a bettor to place 2 of these bets and win both of them.
If a bettor places a large number of these bets, they should expect to average a return of about
-2.50 dollars per bet.

Answers

Answer:

b and c

Step-by-step explanation:

i got it right on my khan academy

Translate each inequality
"18 less than the quotient of a number and -5 is no less than 31"

Answers

Answer:61

Step-by-step explanation:

PLSS ANSWER WILL GIVE BRAINLIEST IF RIGHT

Answers

3 presents.

Reason:

12 divided by 2 is 6, and 18 divided by 3 is also 6, meaning that he will be able to wrap 3 presents.

Answer:

Answer is 3 presents

Step-by-step explanation:

12 centimeter tape used for 2 presents

1 centimeter tape used for [tex]\frac{2}{12}[/tex] presents

18 centimeter tape used for 18 × [tex]\frac{2}{12}[/tex] presents

                                             = 3 presents        

HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute

The machine can make __ soda bottles each minute.

Answers

Answer:

Step-by-step explanation:

1

make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.

What is the sum of the interior angles of the following convex polygon?​

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.......

Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°.

Hope it helps!

mark me as the brainliest.....

Follow me! :)

!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?

Answers

Answer:

In short, they are all quadrilaterals.

Step-by-step explanation:

Rectangle:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

Square:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

- Diagonals within the square are perpendicular

Parallelogram:

- Opposite sides are equal and parallel

- Opposite angles are equal

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Rhombus:

- Opposite angles are equal

- All sides are equal

- Opposite sides are parallel

- Diagonals within the square are perpendicular

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Trapedzoid:

- There is only one pair of parallel lines

Kite:

- There are two pairs of equal signs

- There are two equal angles

- You can look at it like two equal triangles glued together

Really hope this helped you!

what is the greatest common multiple of 96,48,84

Answers

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Evaluate the expression (3 + m)^3 , when m=2

Answers

sub the number in
(3+2)^3
=5^3
=125

Answer:

the answerrrrrrrrrrr is 27+54m+36m^2+8m^3

How can this expression be written another way?

30x + 100
Factor using the distributive property and the greatest common factor to write an equivalent expression.

options:

10 (3x + 10)


30 (x + 100)


100 (30x)


100x + 30

Answers

Answer:

option 1:

Step-by-step explanation:

10 (3x + 10)

hi please help i’ll give brainliest please

Answers

Step-by-step explanation:

B ANSWER OOOOOKKKKKKKKK

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