Respuesta :
Answer:
D. 8
Step-by-step explanation:
32^(3/5) is the same as [tex]\sqrt[5]{32}[/tex]^3.
[tex]\sqrt[5]{32}[/tex] = 2 because 2^5=32
2^3 = 8
Simplify the expression.
Rewrite 32 as 2⁵.
[tex]\bf{\left(2^{5}\right)^{\frac{3}{5} } }[/tex]
Apply the power rule and multiply exponents, (αᵐ)ⁿ=αᵐⁿ.
[tex]\bf{2^{5}^{(\frac{3}{5} )} }[/tex]
Cancel the common factor of 5.
Cancel the common factor.
[tex]\bf{2^{\not{5}}^{(\frac{3}{5} )} }[/tex]
Substitute the expression.
[tex]\bf{2^{3} \ \ \to \ Calculate \ power. }[/tex]
Raise 2 to the power of 3.
- 8 ===> Answer
We conclude that the correct option is "D".
