Question

find in exponent and power:

(a. (2/3)-6×(3/2)-4​

Answer 1

It simplifies to 2/3 - 9 - 4 = 2/3 - 13 = -37/3 hence exponent or power is 1

Answer 2

$\red{ Value \:of \:\Big(\frac{2}{3}\Big)^{-6} \times \Big( \frac{3}{2}\Big)^{-4}} \\= \Big(\frac{3}{2}\Big)^{6} \times \Big( \frac{3}{2}\Big)^{-4}$

/* By Exponential Law */

$\boxed { \pink { \Big(\frac{a}{b}\Big)^{-n} = \Big(\frac{b}{a}\Big)^{n} }}$

$= \Big(\frac{3}{2}\Big)^{6-4}$

/* By Exponential Law */

$\boxed { \blue { a^{m} \times b^{n} = a^{m+n} }}$

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

$= \frac{9}{4}$

Therefore.,

$\red{ Value \:of \:\Big(\frac{2}{3}\Big)^{-6} \times \Big( \frac{3}{2}\Big)^{-4}} \green { = \frac{9}{4}}$

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