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

Answer:

D. 8

Step-by-step 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.

$\bf{\left(2^{5}\right)^{\frac{3}{5} } }$

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

$\bf{2^{5}^{(\frac{3}{5} )} }$

Cancel the common factor of 5.

Cancel the common factor.

$\bf{2^{\not{5}}^{(\frac{3}{5} )} }$

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 }