Question

simplify the following (1) (3²-2²)×(2/3)–³ ans is 135/8 give this ans solution​

Answer 1

This is the solution please mark me brainlist

Answer 2

Answer:

$\frac{135}{8}$

Step-by-step explanation:

$\grenn{\ggg}\red{\underline{Question:-}}$

$\bold{Simplify\:the}\:(3^2-2^2)\times (\frac{2}{3})^{-3}$

$\green{\ggg}\red{\underline{Solution:-}}$

By using the power property that is,

$a^{-n} = \frac{1}{a^n} \: and\: (\frac{a}{b})^{-n} = (\frac{b}{a})^n$

$\Rightarrow (3^2-2^2) \times (\frac{2}{3})^{-3} = (9-4)\times (\frac{3}{2})^3$

By using the property,

$(\frac{a}{y})^n = \frac{a^n}{b^n}$

$\Rightarrow (9-4) \times (\frac{3}{2})^3 = 5 \times \frac{3^3}{2^3}$

$\Rightarrow 5 \times \frac{27}{8}$

$\Rightarrow\frac{135}{8}$

Therefore, the required value is $\frac{135}{8}$