Question

How do you simplify `(a ^ { \frac { 1} { 3} } c ^ { - 5} ) ^ { - \frac { 12} { 5} }`?

Answer 1

See explanation below

Explanation:

Apply power rules to given expresion

`(a^(1/3)c^(-5))^(-12/5)=(a^(1/3))^(-12/5)(c^(-5))^(-12/5)=a^(-12/15)c^12=a^(-4/5)c^12=c^12/(root(5)(a^4))`

Where the fractions in exponents have been symplified and converted to root expresion