Question

[(3/4)×(3/4)^2]÷(3/4)^4 is equal to​

Answer 1

$[\frac{3}{4} \times \Big(\frac{3}{4}\Big)^{2}]\div \Big( \frac{3}{4}\Big)^{4}$

$= \frac{\Big(\frac{3}{4}\Big)^{1+2}}{\Big( \frac{3}{4}\Big)^{4}}$

/* By Exponential Law */

$\boxed{ \pink{ x^{m} \times x^{n} = x^{m+n} }}$

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

$= \frac{1}{\Big( \frac{3}{4}\Big)^{4-3}}$

/* By Exponential Law */

$\boxed{ \pink{ \frac{x^{m} }{ x^{n}} = x^{m-n} }}$

$= \frac{1}{\Big( \frac{3}{4}\Big)^{1}}$

$= \frac{4}{3}$

Therefore.,

$\red{ [\frac{3}{4} \times \Big(\frac{3}{4}\Big)^{2}]\div \Big( \frac{3}{4}\Big)^{4}}$

$\green {= \frac{4}{3} }$

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