Question

Simplify (32 /243) power -3/5

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The correct answer is $\frac{27}{8}$.

Given: The equation = $\frac{32}{243}^{\frac{-3}{5} }$.

To Find: Value of this equation.

Solution:

=  $\frac{32}{243}^{\frac{-3}{5} }$

= $\frac{243}{32}^{\frac{3}{5} }$

= $\frac{243}{32}^{\frac{3*1}{5} }$

= $\frac{3^{5} }{2^{5} }^{\frac{3*1}{5} }$

= $\frac{3}{2} ^{\frac{3*5}{5} }$

= $(\frac{3}{2})^{3}$

= $\frac{27}{8}$

Hence, the answer is  $\frac{27}{8}$.

#SPJ2