# Simplify this expression. Write answer without using negative exponents?

(a^4/5 * c^-1/3)^5

Assume that all variables are positive real numbers

### 5 Answers

- NuevoNewLv 49 years agoFavorite Answer
(a^4/5 * c^-1/3)^5

= (a^4) (c^(-5/3)

= (a^4) / (c^5/3)

Good luck!

- Anonymous9 years ago
Since the symbol inside the brackets is multiplication..you can get the power into the brackets..it will become

Let y=(a^4*c^-5/3)

y={(a^4)/(c^5/3)}

The negative sign in the power means the reciprocal....while the denominator in the power represents the nth root

Ex:in this question,it is cube root of c^5(It's not required in this particular question but many ppl tend to confuse)

Hope this helps.................

- ComoLv 79 years ago
Presentation is incorrect due to lack of brackets.

SHOULD be shown as :-

[ a^(4/5) c^(-1/3) ]^5

a^4 c^(-5/3)

a^4

-------

c^(5/3)

The a^4/5 as given by you MUST be read as (a^4) / 5 and this of course is NOT what you actually mean .

You MUST use brackets ie a^(4/5)

Similarly for c^(-1/3)

This is VERY IMPORTANT to remember for future work.

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