Question

What is the value of the expression below? (15^1/5)^5

Answer 1

15

Explanation:

Given the expression:

`\displaystyle{\left(15^{(1)/(5)}\right)^5}`

We can apply the law of exponent of:

`\displaystyle{\left(a^m\right)^n = a^(mn)}`

Therefore, we will have:

`\displaystyle{\left(15^{(1)/(5)}\right)^5 = 15^{(5)/(5)}}\\\\\displaystyle{\left(15^{(1)/(5)}\right)^5 = 15^(1)}\\\\\displaystyle{\left(15^{(1)/(5)}\right)^5 = 15}`

Hence, the value of expression is 15.