Question

simplify the exponent!​

Answer 1

Answer:

The value of the expression is 16.

Step-by-step explanation:

The exponent can be solved as follows:

$\frac{8^{\frac{1}{3} }\times16^{\frac{1}{3} }}{32^{\frac{-1}{3} }} =\frac{2^{3\times\frac{1}{3} }\times2^{4\times\frac{1}{3} }}{2^{5\times\frac{-1}{3} }}=\frac{2^{1}\times2^{\frac{4}{3} }}{2^{\frac{-5}{3} }}=2^{1+\frac{4}{3}-\frac{-5}{3} }=2^{\frac{12}{3} }=2^{4}=16$

Thus, the result is 16