Question

Could somebody help me work through this? I totally forgot the steps!
(2m^4 n^2/6m^2)^3

Answer 1

\[(\frac{ 2m^4 n^2 }{ 6m^2 })^3\]

A better representation of it

Answer 2

@dan815 @bahrom7893 @jim_thompson5910 @primeralph would either of you guys be willing to help?

Answer 3

@wio could you help? I know that first I need to solve within the parenthesis

Answer 4

Cancel out the \(m\)s

Answer 5

Wait do I cancel out the Ms first? because I simplified the 2/6 part first

Answer 6

@wio

Answer 7

\[
\frac{m^4}{m^2}=\frac{m^{\cancel 42}}{m^{\cancel 2 0}}=\frac{m^2}{1}
\]

Answer 8

I know how to cancel out m's...Do you see the big 2 and 6 there? I treated that as a seperate fraction sort of and simplified it first, was that wrong? Or should I have cancelled out the M's first? @wio

Answer 9

It doesn't matter, mutliplication is the same order.

Answer 10

Okay @wio so since the M's are cancelled out \[(\frac{ 2m^2n^2 }{ 6(1) })^3\]

Answer 11

is that correct?@wio

Answer 12

@wio

Answer 13

yeah that is fine

Answer 14

You can distribute the 3 at any time you want.

Answer 15

Okay @wio \[\frac{ 2^3m^6n^6 }{ 6^3 }= \frac{ 8m^6n^6 }{ 216 }\]

Answer 16

The 8 and the 216 can be reduced

Answer 17

\[\frac{ m^6n^6 }{ 27 }\]

Answer 18

@wio

Answer 19

You can't simplify it anymore

Answer 20

Okay @wio thank you!