How do I simplify 2^(-m) x 3^(-m) x 6^(2m) x 3^(2m) x 2^(2m) as a power of 6?

[Darkmisc]

Homework Statement

Write 2^(-m) x 3^(-m) x 6^(2m) x 3^(2m) x 2^(2m) as a power of 6.

Relevant Equations

Write 2^(-m) x 3^(-m) x 6^(2m) x 3^(2m) x 2^(2m) as a power of 6.

Hi everyone

Could someone please help me with a yr 10 maths problem? It's for my niece. I've done 2nd yr uni maths and can't seem to solve it.

Write 2^(-m) x 3^(-m) x 6^(2m) x 3^(2m) x 2^(2m) as a power of 6.

I've attached my attempt in the file. I get stuck at the point where I need to get rid of the base 2 and base 3 terms.

The answer is 6^(3m), but I don't know how to get there. Thanks

 

[BvU]

I've done 2nd yr uni maths

Then you should know hat $2\times 3=6$ !

 

[Darkmisc]

Thanks. It's been a while since I've done maths.