Question

Exponents & Power
1 Evaluate
4 -³​

Answer 1

Answer:

${4}^{ - 3}$

(1/4)^3

1/64

Ans. 1/64

Hope it helps.

Answer 2

Given :-

$\sf 4^{-3}$

To Find :-

The given in positive power

Solution :-

Consider given ;

$\quad \leadsto \quad \sf 4^{-3}$

We knows that ;

$\quad \qquad { \bigstar {\underline {\boxed {\bf {\red { {a}^{- b} = { \bigg( \dfrac{1}{a} \bigg)}^{b} }}}}}}{\bigstar}$

Using this we have ;

${ : \implies \quad \sf { \bigg( \dfrac{1}{4} \bigg)}^{3}}$

${ : \implies \quad \sf \bigg( \dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4} \bigg) }$

${ : \implies \quad \bf \bigg( \dfrac{1}{64} \bigg) }$

$\quad \qquad { \bigstar {\underline {\boxed {\bf {\red { \therefore {4}^{- 3} = \bigg( \dfrac{1}{64} \bigg) }}}}}}{\bigstar}$

Henceforth , The Required Answer is 1/64 :)