Answers
Answer:
[tex] \frac{1}{ 9 }[/tex]
Step-by-step explanation:
[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]
The evaluation of the expression 9^((1/2)b)/3^a is 1/9
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
Now, for this case, we are given that:
a - b = 2
The expression is:
[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]
Since we know that [tex]3^2 = 9[/tex], thus:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]
Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]
Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9
Learn more about exponentiation here:
https://brainly.com/question/15722035
Related Questions
Joey and her sister are helping remodel their parent's house.
They plan to carpet the bedroom which is 14 feet by 16 feet.
The carpet is priced at $1.90 per square foot.
How much can they expect to pay for the new carpet?
Answers
Answer:
They will have to pay $425.60
Step-by-step explanation:
14*16 equals 224 feet
224 feet times $1.90 equals $425.60
What is the slope-intercept equation for the line below?
5
(54)
(0, 2)
- A. y = 2 x + 2
D. -- +2
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what is the answer of 2m^2 * 2m^3
Answers
Answer:
4m^5
Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation:
I need help, please anyone!
Answers
What is 5x6 equal too?
Answers
Answer:
30
Step-by-step explanation:
6+6+6+6+6 or 5+5+5+5+5+5
Answer:
30
Step-by-step explanation:
cause you can do it mentally or you can do 5+5+5+5+5+5, cause its 5 six times. Or 6 five times. 6+6+6+6+6
Can you guys plz help me!?
Thanks!!
Answers
Urgent!! Math help!!! Pls answer them all or the ones you know! I’ll make you brain-list!
Answers
Answer:
1) mEF is 38°
2) mDE is 52°
3) c. 6.28
4) b. 20.94
Step-by-step explanation:
1) mEF is corresponding to mHG
2) mDE + mEF = 90, so 90-38=52
3) L=r·∅ so L=3·120 (in radians)
4) Couldn't see Q, but based on the right angle we can assume the inside angle for mQPT is 119°
Describe a real world situation where you might use the Pythagorean Theorem. Help due today :))
Answers
3^2
+
4^2
=
5^2
Explanation: hope this helps
Help me please I will give Brainliest!
Answers
Answer:
n = 4.5
Step-by-step explanation:
I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:
1.5+3=4.5
can you please help me? as much as you can is greatly appreciated <333 pt 2
Answers
Answer: m3 for the first one
Step-by-step explanation:de
This could take a while, so I'll simply put the answer with the theorem I used to figure it out with.
1) 45° - minor arc; Central Angles/Arcs Theorem
2) 180° - semi circle; Diameter Theorem? (Whichever theorem states that the diameter separates a circle into two 180° semi circles)
3) 75° - minor arc; Angle Addition Postulate
4) 105° - minor arc; Angle Addition Postulate
5) 225° - major arc; Angle Addition Postulate
6) 45° - minor arc; Vertical Angles Theorem
7) 135° - minor arc; Angle Addition Postulate
8) 240° - major arc; Angle Addition Postulate
9) 315° - major arc; Angle Subtraction Postulate, i think? lol.
10) 180° - semi circle; Diameter Theorem or whatever it's called lol.
Additionally, I determined whether or not an angle was a major arc, minor arc, or semi circle with the knowledge that:
minor arc - less than 180 degreesmajor arc - more than 180 degreessemi circle - is 180 degrees.Have a nice day, fam. Spread The Love. lol I'm tired after typing all this out :P
can you please help me? as much as you can is greatly appreciated <333 pt 1
Answers
Answer:
11) 80°
12) 80°
13) 80°
14) 40°
15) 60°
16) 120°
17) 180°
18) 100°
19) 120°
20) 280°
Step-by-step explanation:
This will take awhile, so I will just give you the theorems I used to determine my answer.
11) Supplementary angles theorem
12) Central Angles/Arcs Theorem
13) Vertical Angles Theorem
14) Central Angles/Arcs Theorem
15) Vertical Angles Theorem (The vertical angle minus 40 would equal 60)
16) Supplementary Angles Theorem (Supplementary to 100 degrees)
17) Central Angles/Arc Theorem
18) Vertical Angles & Central Angles/Arc Theorem
19) Angle Addition Postulate, somewhat
20) Angle Addition Postulate
Have a nice day, fam. This problem really worked my brain. Spread The Love.
Rewrite the decimals as fractions 3.34
Answers
y = -3/2x -2 y = -1/4 + 3
Answers
Answer:
umm. what am I supposed to find
Step-by-step explanation:
I need to know what to fi d in order to get the answer for you it would make it easier if you did that now so yeah
What are two numbers that when multiplied equal -30 and when added together equal 1?
Answers
Answer:
6 and -5
Step-by-step explanation:
6 times -5 = -30
6 + (-5) = 1
There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color
Answers
Answer:
Blue = 30
Green = 24
Red = 54
Orange = 12
Step-by-step explanation:
hahahshahhahahahahahauehfudbrog f ghg
Please help... 12 points please thank you!
Answers
Sorry if I’m wrong
Solve the system using the substitution method. -5x – 8y = 17 x = 3.5y – 8.5 NO LINKS PLEASE HELP LINKS = REPORT
Answers
Answer:
x=-5 , y=1
Step-by-step explanation:
-5x-8y=17
x=3.5y-8.5
-5(3.5y-8.5)-8y=17
-17.5y+42.5-8y=17
-25.5y+42.5=17
-25.5y=-25.5
y=1
x=3.5(1)-8.5
x=-5
Help me, I will give brainliest to best answer. No work needs to be explained.
Write three hundreths as a decimal.
Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths
Answers
Answer:
3.00 I think or 30.0 I really don't know but that's what I think
Find the value of x then find the angle measures of the polygon
Answers
Answer:
X=135⁰
Step-by-step explanation:
The sum of angles= 540
Angles are x⁰ x,⁰(x-45⁰),(x-45)⁰
x+x+x+x-45+x-45+x-45=540
5x-135=540 simplify
5x=540+135 Add 135 to both sides
[tex]\frac{5x}{5} =\frac{675}{5}[/tex]
divide both sides by 5
X=135⁰
hope it helps....
Create and solve a 2 step equation where x = -3
Answers
Answer:
Equation:
x + 2 = -1
x = -1 - 2
x = 3
2. Eli has 600 cubes that are 1 cubic inch. Select the smallest length a cube- shaped box can have while being able to hold the 600 cubes. A 7 in. B 8 in. C 9 in. D 10 in.
Answers
Answer:
9 in
Step-by-step explanation:
We need to find x in x^3 > 600
For x=8, 8^3 = 512 < 600 (Too Small)
For x=9, 9^3 = 729 > 600 (Just right)
For x=10, 10^3 = 1000 > 600 (Too big)
Therefore, the smallest length of the cube-shaped box is 9 in.
PLS HELP QUICK!!
The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.
Answers
Answer:
4
Step-by-step explanation:
750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root
One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.
Answers
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.
x = first number
y = second number
x=y+5
3x +2y = 30
lets substitute x=y+5 in the second equation for x;
3(y+5) + 2y =30
3y + 15 + 2y = 30
5y + 15 =30
5y = 30 -15
5y = 15
y = 3
Now that we have y lets plug that answer into either equation for y;
x = 3 + 5
x = 8
:) if I’m wrong I’m very sorry.
16. Solve for x. x = __________
Answers
Answer:
20
Step-by-step explanation:
Need help once again!!!
Answers
Answer:
the answer to this question is seven
-5x=10 plz no links thanks
Answers
Answer:
2
Step-by-step explanation:
2x5=10
Answer:
-5x=10
x= 10/(-5)
x = -2 (sign in the denomiantor comes to numerator)
Rewrite this number in scientific notation.
57,000,000,000,000
Answers
Answer:
57.0 * 10^12
Step-by-step explanation:
Answer:
5.7 x 10^13
Step-by-step explanation:
trust me
What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.
Answers
Answer:
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
Answer:
4.5 mm
Step-by-step explanation:
Mary spent a total of $322.53 for a party. She spent $200.97 on food, plus an additional $30.39 for each hour of the party. How long
was the party?
Answers
Answer:
4 hours
Step-by-step explanation:
y = total cost
x = per hour
Equation:
y = 200.97 + 30.39x
322.53 = 200.97 + 30.39x
322.53 - 200.97 = 30.39x
121.56 = 30.39x
x = 4
121.56 is the money she has left over after buying food so
121.56/30.39=4 hours
Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?
Answers
Answer:
50 - 8 = 42
divide 42 by 3!
5.25