Question

evaluate [ ( 1/3 ) ki power -1 - ( 1/4 ) ki power -1]​

Answer 1

$\huge{\underline{\bf\red{QuestiØn} :}}$

Evaluate :-

$\boxed{ { \bigg( \frac{1}{3} \bigg)}^{ - 1} - { \bigg( \frac{1}{4} \bigg)}^{ - 1} }$

$\huge{\underline{\bf\blue{SolutiØn}\ :}}$

We have,

$\begin{aligned} \\ & \quad \ { \bigg( \frac{1}{3} \bigg)}^{ - 1} - { \bigg( \frac{1}{4} \bigg)}^{ - 1} \\ \\ & = {(3)}^{1} - {(4)}^{1} \\ \\ & = 3 - 4 \\ \\ & = {\underline{\boxed{ \quad - 1 \quad}}} & & & & & & \end{aligned}$

HENCE ,

${ \bigg( \dfrac{1}{3} \bigg)}^{ - 1} - { \bigg( \dfrac{1}{4} \bigg)}^{ - 1} = \blue{\underline{\bf\green{\quad - 1 \quad}}}$

$\red{\rule{5.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$