Please solve this law of indices​

Please Solve This Law Of Indices

Answers

Answer 1

4√36^-1 = 36^-1/4

36^3/4 • 36^-1/4

=36^2/4

or √36 = 6

Answer 2

[tex]\sf Formulas: \displaystyle \\\\\ 1) \ a^{n} \cdot a^{m}=a^{n+m} \\\\ 2) \sf \ \sqrt[n]{\sf a^{m}} = a^{\tfrac{m}{n} } \\\\\\ Solution : \\\\\\\sf \large \boldsymbol {} \displaystyle (36)^{\tfrac{3}{4} } \cdot \sqrt[\sf 4 ]{\sf 36^{-1}} }= 36^{\tfrac{3}{4} } \cdot 36^{\tfrac{-1}{4} } =36^{\tfrac{3}{4}+\big(-\tfrac{1}{4} \big ) }= \\\\\\\ 36^{\tfrac{3}{4} -\tfrac{1}{4} } =36^{\tfrac{2}{4} }=(6^ {\backslash \!\!\!2})^{\tfrac{1}{\backslash\!\!\!2} }= 6^1=\boxed{\sf 6}[/tex]


Related Questions

A online campus student answered 51 questions correctly out of 64 total questions on an assignment. Write the portion of the questions answered correctly as a decimal rounded to the nearest thousands.
If you don't answer i will find you. And do something bad

Answers

Answer:

0.797

Step-by-step explanation:

51/64 = .797 The 3rd decimal is thousandths place its a simple division problem

Can someone help me... please...

Answers

Answer:

3 years

Step-by-step explanation:

75 = (500)(0.05)(t)

75 / (500*0.05) = t

t = 3

2) Jerry and Henry love playing marbles. Jerry has 60 marbles while Henry has 80 marbles. They plan to keep their marbles in a clay jar. How many possible groups will there be if they are going to put them equally inside the clay jar respectively? Put a star if the number is divisible of the given number. Number of Marbles Can marbles be put in a clay jar equally by 2? 3? 4? 5? 6? 8? 9? 10? 11? 12? 20? Jerry has 60 Henry has 80

Answers

They can both keep there marbles

What is the value of
[tex]3 \sqrt{8} [/tex]

Answers

6 radical 2
Just factor out the 4 from 8

Identify the vertex of the equation y=x^2−6x+2. Show all work for full credit.

Answers

Answer:

(3, -7)

Step-by-step explanation:

y = x² - 6x + 2

a = 1, b = -6

[tex]x = - \frac{ - 6}{2 \times 1} [/tex]

x = 3

y = x² - 6x + 2; x = 3

y = -7

= (3, -7)

b) Solve the following system of equations using Elimination Method:
(2y - 1
-3
3x – y
2y = x - 2

Answers

Answer:

(2y - 1 -3 3x – y 2y = x - 2             answer is -3 or 56.309 or +3/2

Step-by-step explanation:

HELP!! IM BEING TIMED!

What is the iterative rule for this geometric sequence?
2/9, 2/3, 2, 6, ...

A.) an = 2/9 • 3^n
B.) an = 3(2/9)^n-1
C.) an = 2/9 • 3^n-1
D.) an = 3(2/9)^n

Answers

Answer: D

Step-by-step explanation:

2/3 divided by 2/9 = 3

a n = a 1 ⋅ r^( n − 1)

an = (2/9) * 3^(n-1)

A line has a slope of -4 and includes the points (-3, p) and (-4,0). What is the value of p?

Answers

Answer:

p = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, p ) and (x₂, y₂ ) = (- 4, 0 )

m = [tex]\frac{0-p}{-4-(-3)}[/tex] = [tex]\frac{-p}{-4+3}[/tex] = [tex]\frac{-p}{-1}[/tex] = p = - 4

plzzzzzzzzz help its math

Answers

Answer:

B

Step-by-step explanation:

14/2.54=5.51

Answer:

B. 5.51

Step-by-step explanation:

14÷2.54=5.5111811

write ad power of 5 (270)​

Answers

Not fully understanding what you mean

5 to the power of 250 is: 5^250

250 to the power of 5 is: 250^5

Find the x and y-intercepts of :
3y-6x=18

Answers

Answer:

x- intercept = -3 units

y- intercept = 6 units

Answer: y intercept=6 x intercept=-3

Step-by-step explanation:

The y-intercept is when x is 0 so we plug in the value of x with 0 and solve for y.

Similarly, the x-intercept is when y is 0 so we plug in the value of y with 0 and solver for x.

A garden is 8 feet by 12 feet and Lewis wants to increase the area by 25%. what could be the new dimensions of the garden?

Answers

Answer:

10ft by 12ft

Step-by-step explanation:

Step 1 : Find the area of the garden.

Area formula = length * width

Area = 8 * 12

Area = 96

Step 2 : Find 25% of 96.

96 divided by 4 = 24

Step 3 : Add that 25% (24) onto 96.

24 + 96 = 120

We now know that the new area of the garden is 120 [tex]feet^{2}[/tex].

The new dimensions of the garden could be 10 times 12, since that equals 120. Therefore, the answer is 10ft by 12ft.

Have a nice day, and mark brainliest if possible. :)

PLEASE! An item costs 410 before tax, and the sales tax is 32.80.
Find the sales tax rate. Write your answer as a percentage.

Answers

Divide the amount of the tax by the cost of the item:

32.80 / 410 = 0.08

Multiply by 100:

0.08 x 100 = 8%

Answer: 8%

Answer ASAP please this is important

Answers

Answer:

7 students like art only.32 students18 students4 students9 studentsx squared - 27x-10x times 103+ 2x2x - (2x squared)4+-4=06+6=12(2 times -2 times 3) squared = -1440-5= -5

This table represents a funtion. What is f(-2) ?

Answers

You forgot to post the function
The answer is f(-2) =1

Use the following function rule to find g(x+3). Simplify your answer.g(z)=–5zg(x+3)=\

Answers

Answer:

g(x+3) = -5x-15

Step-by-step explanation:

g(z) = -5z

g(x) = -5x

g(x+3) = -5(x+3)

         = -5x -15

Feel free to mark this as brainliest! :D

find the range of the function y= 1/2 x + 3 when the domain is -2, 0, 2, 4

Answers

Answer:

2 3 4 5

Step-by-step explanation:

1/2*-2+3 = 2

1/2*0+3 = 3

1/2*2+3 = 4

1/2*4+3 = 5

What is the two closest integer to 105

Answers

Answer:

104 and 106

Step-by-step explanation:

The closest to 105 (previous and next integer)

I believe it is 53 and 52.

Hope this helps! :D

what is the answe ?????​

Answers

Answer:

1) The first option

2) -9, -7, 6, 8, 10

3) Rise by 10 degrees

Step-by-step explanation:

Ascending is from smallest to biggest therefore you start with the smallest negative number and end with biggest whole number.

12. Write an equivlent expression for -8b - 4y + 12 with a coefficient that is negative.

Answers

Answer: It's possible to change a negative sign to a minus sign because for example when you have two integers 5 and -3, 5-3 is the exact same as 5+(-3). So basically, adding a negative number and a positive number is the same as subtracting the larger absolute value from the number with the lower absolute value

Step-by-step explanation:

Answer:

We could write -2(4b+2y-6), since it is an expression that is equal to -8b - 4y + 12 and has a negative coefficient.

If quadrilateral PQRS is a rectangle, then which of the following is true?

C. Sr=rq
D. Ps=or

Answers

Answer:A ps=qr

Step-by-step explanation:opposite sides of a rectangle have equal length

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Answer:

SR = RQ

Step-by-step explanation:

In a rectangle, opposite sides are congruent, which means that the length of side SR is equal to the length of side RQ. Therefore, the statement SR = RQ is true for a rectangle.

or in simple terms the otehr ones were like going inside the rectagle an dbassically arent ideally in the form of  arectangle so choose two straight line SR AND RG ARE STRAIGT LINE STHAT WHY THEY ARE THE CORRCET ANSWER

Plz help fast
I will mark Brainlyist

Answers

Answer:

148°

Step-by-step explanation:

this is the answer i promise

Based on the following figure, what is the slope of the hypotenuse?

a. 5/12

b. 5

c. 12

d. 12/5​

Answers

Answer:

5 / 12

Step-by-step explanation:

Here,

x = 12

y = 5

Formula : -

Slope = y / x

Slope = 5 / 12

Someone pls help me I will make you as brain

Answers

Answer: f(x) is greater is the correct option

Explanation: I took the quiz and got it right :3

13, 14, 14, 16, 16, 16.16, 18, 18, 19
What is the MAD?

Answers

Answer:

Population size:9

Mean (μ): 16.017777777778  

Mean Absolute Deviation (MAD): 1.5753086419753

A triangle has vertices A(-3,6), B(-3, 4), and C(3, 4).
If the triangle is translated 2 units to the right and 1 unit down, what will be the new coordinates of vertex A?

Answers

Answer:

A(-3,6) -> A'(-3+2,6-1),so A‘’(-1,5),choose A

Step-by-step explanation:

A the correct answer is A chose it :)

3 hours worked for $12; 9 hours worked for $36​

Answers

Answer:

For the first that person worked for 4 dollars an hour

2nd person worked for 4 dollars an hour

Step-by-step explanation:

12/3

&

36/9

=

4

NEED ANSWERS ASAP!
A dry cleaning service's costs for cleaning shirts are shown in the graph. COST OF DAY CLEANING SHIRTS Cost fin dollars) 2 3 Number of Shirts What is the meaning of the point in terms of the context? A. The dry cleaning service charges si per shirt. B. The dry cleaning service charges $2 per shirt: C. The dry cleaning service charges $1 for 2 shirts D. The dry cleaning service charges $2 for 2 shirts​

Answers

Answer:

B

Step-by-step explanation:

cost in dollars (y)

number of shirts (x)

2$ per shirt

It shows on the graph 2$ on the left lines up to 1 short

put the following equation of a line into a slope-intercept form, simplifying all fractions.

3y-3x=21

Answers

Answer: y = x + 7

Step-by-step explanation:

To find the slope-intercept form (y=mx+c), we have to make 'y' the subject of the equation:

3y - 3x = 21                     [add 3x to both sides]

      3y = 3x + 21             [divide all terms by 3]

        y = x + 7

∴ 3y - 3x = 21 in slope-intercept form is y = x + 7.

Points A and B have coordinates (8, 3) and (p, q) respectively. The equation of the perpendicular
bisector of AB is y = -2x +4.
Find the values of p and q.

Answers

Answer:

p = -4, q = -3

Step-by-step explanation:

y = -2x +4  ... (1)   perpendicular bisector of AB, slope = -2

slope of AB = 1/2

Line AB pass (8,3): (y-3) / (x-8) = 1/2

AB equation: y-3 = 1/2(x-8)      y = 1/2x - 1  ... (2)

(2)-(1): 5/2 x = 5      x = 2

y = 0       (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)

(8+p)/2 = 2

p = -4

(3+q)/2 = 0

q = -3

The values of p and q from the perpendicular bisector are;

p = -4 and q = -3

We are given coordinates of A and B as;

A(8, 3) and B(p, q)

Bisector of AB is y = -2x + 4

Thus, from y = mx + c, Slope of the bisector is -2.

Since the bisector is perpendicular to AB, then slope of AB = -(1/-2) = 1/2

Thus, slope of the line from point A to the point of the bisector on AB is;

(y - 3)/(x - 8) = 1/2

y - 3 = ¹/₂(x - 8)

y - 3 = ¹/₂x - 4

y = ¹/₂x - 1

Putting ¹/₂x - 1 for y in the bisector equation gives;

¹/₂x - 1 = -2x + 4

2x + ¹/₂x = 4 + 1

2.5x = 5

x = 5/2.5

x = 2

Thus;

y = -2(2) + 4

y = 0

Thus, the coordinate of the midpoint of AB is (2, 0)

Now, this means that;

(8 + p)/2 = 2

8 + p = 4

p = 4 - 8

p = 4

Also; (3 + q)/2 = 0

3 + q = 0

q = -3

Read more about equation of perpendicular bisector at; https://brainly.com/question/23090478

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