Question

What is the value of the expression below? (8^5/3)^1/5

Answer 1

8^1/3

Explanation:

(8^5/3)^1/5

8^5/3×1/5

8^5/15

8^1/3

Answer 2

Explanation:

Exponent Rule:
`(a^(m))^(n)=a^(m*n)`

`(8^{(5)/(3)})^{(1)/(5)}= 8^{(5)/(3)}*{(1)/(5)}\\\\\\=8^{(1)/(3)}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2`