Evaluate as a fraction in index form

Evaluate (a^2 * b^7) / (a^3 * b) as a fraction in index form when a = (2/5)^4 and b = (5/8)^3

Answer is 5^22/2^58, I've tried numerous ways to get to this but am struggling. When I think I'm just about there I always find a problem with my working.

Help would be greatly appreciated.

Re: Evaluate as a fraction in index form

I'd start by simplifying the entire expression first...

Re: Evaluate as a fraction in index form

Quote:

Originally Posted by

**Prove It** I'd start by simplifying the entire expression first...

Thanks, the 3rd last line is where I was having problems. It helps to have someone explain it to you sometimes.

Edit: can't believe I didn't see that the 8^18 couldn't be expressed as (2^3)^18. Must have missed it entirely (Worried)