Question

What is the value of the expression below?

32^3/5
O A. 6/5
B. 6
O c. 96/5
O D. 8

Answer 1

D. 8

Explanation:

32^(3/5) is the same as
`\sqrt[5]{32}`^3.


`\sqrt[5]{32}` = 2 because 2^5=32

2^3 = 8

Answer 2

Simplify the expression.

Rewrite 32 as 2⁵.

`\bf{\left(2^(5)\right)^{(3)/(5) } }`

Apply the power rule and multiply exponents, (αᵐ)ⁿ=αᵐⁿ.

`\bf{2^(5)^{((3)/(5) )} }`

Cancel the common factor of 5.

Cancel the common factor.

`\bf{2^{\\ot{5}}^{((3)/(5) )} }`

Substitute the expression.

`\bf{2^(3) \ \ \to \ Calculate \ power. }`

Raise 2 to the power of 3.

• 8 ===> Answer

We conclude that the correct option is "D".

{ Pisces04 }