Question

simplify and express as power a rational number
(2/3)3*(-6/7)2*(-7/4)*3/2​

Answer 1

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Answer 2

Answer:

$(\frac{2}{3}) ^3 * (\frac{-6}{7} )*(\frac{-7}{4} )*(\frac{3}{2})$

As we know that $[(\frac{x}{y})^n = \frac{x^n}{y^n}]$

$= \frac{2^3}{3^3} * \frac{-6^2}{7^2} * \frac{-7}{4} * \frac{3}{2}$

$= \frac{8}{27} * \frac{36}{49} * \frac{-7}{4} \\ * \frac{3}{2} \\\\= \frac{-4}{7}$

[∴ a' = a]

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