Question

simplify 81/16^-3/4*25/9^-3/2

Answer 1

Answer:

$\text{The simplified expression is }\frac{8}{125}$

Step-by-step explanation:

Given the expression

$(\frac{81}{16})^{\frac{-3}{4}}\times(\frac{25}{9})^{\frac{-3}{2}}$

We have to simplify the above expression.

$(\frac{81}{16})^{\frac{-3}{4}}\times(\frac{25}{9})^{\frac{-3}{2}}\\\\(\frac{3}{2})^{4\times \frac{-3}{4}}\times (\frac{5}{3})^{2\times \frac{-3}{2}}\\\\(\frac{3}{2})^{-3}\times (\frac{5}{3})^{-3}\\\\(\frac{2}{3})^3\times(\frac{3}{5})^3\\\\(\frac{2}{5})^3=\frac{8}{125}\\\\\text{Hence, the simplified expression is }\frac{8}{125}$

Answer 2

Answer:

here's ur answer...hope it's helpful..