Question

x = 30 * 25 \ 9 / 3 – 7 + 6

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}