Question

Choose the correct simplification of the expression 2 b over c all to the power of 3.

2 times b to the 3rd power all over c to the third power

8 times b to the third power all over c to the third power

2 times b to the third power all over c

2 times b all over c to the third power

Answer 1

\[(\frac{2b}{c} )^3 = \frac{ (2b)^3 }{ c^3} = \frac{ 2^3 b^3 }{ c^3}\]

Answer 2

\[2^3 = 2 \times 2 \times 2 = ?\]

Answer 3

simplify for the final answer

Answer 4

(2b / c)^3
(2b)^3 / c^3
2^3 b^3 / c^3

Answer 5

its b

Answer 6

Yes 2^3=8 so b is the answer :)

Answer 7

can you help me with more?

Answer 8

Of course

Answer 9

i'll help with what i can!

Answer 10

Choose the correct simplification of the expression a to the 6th power times b to the 3rd power all over a to the 4th power times b to the second power.

a to the second power over b

a10b5

a to the 10th power over b to the 5th power

a2b

Answer 11

\[\frac{ a ^{6} b ^{3}}{ a ^{4}b ^{2} }=a ^{2}b\]

Answer 12

thank you I have one more!

Answer 13

Part 1:
Show the expanded form and simplification of x to the 6th power over x to the second power. Explain in your own words how you can simplify x to the 6th power over x to the second power without having to write the expanded form.

Part 2:

Create your own fraction with like bases, coefficients, and show its simplification.

Answer 14

\[\frac{ (x)(x)(x)(x) }{ (x)(x) }=(x)(x)=x ^{2}\]

Answer 15

you can simplify without writing the expanded form by subtracting the exponents

Answer 16

\[\frac{ 16x ^{3}y ^{6} }{ 8xy ^{2} }=2x ^{3}y ^{4}\]

Answer 17

thank you so much !