Question

if x=4/7 and y=5/9 find x raised to the power-1 +y raised to the power-1


I need step by step ans​

Answer 1

Given,

$\bf{}x=4/7 \: \ \: \: \: \& \: \: \: \: y=5/9 \\ \\ \boxed{ \sf x = \frac{4}{7} \: \ \: \: \: \& \: \: \: \: y = \frac{5}{9} }$

$\bull \: \: \text{To Find : Value of} \: \: \: \rm \purple { {x}^{ - 1} } + \purple{ {y}^{ - 1} }$

$\huge \mathbb{ < - - SOLUTION} - - >$

Here,

Putting the (given)numerical value of x & y in expression, we get,

$\to \bf { \bigg( \dfrac{4}{7} \bigg)}^{ - 1} + { \bigg( \dfrac{5}{9} \bigg)}^{ - 1} \\ \\ \to \tt { \bigg( \frac{7}{4} \bigg)}^{ 1} + { \bigg( \frac{9}{5} \bigg)}^{ 1} \: \: \: \: \: \: \: \: \: \: \: \: \: \orange{ \rm\bigg\{ \because {a}^{ - n} = { \bigg( \frac{1}{a} \bigg)}^{n} \bigg\} }\\ \\ \to \tt \frac{7}{4} + \frac{9}{5} \\ \\ \to \tt \frac{35 + 36}{20} \\ \\ \to \tt \frac{71}{20} \: \: \: \rm or \: \: \: \tt3 \frac{11}{20} \: \: \: \rm or \: \: \: \tt3.55$

Hence,

• Value of x^{-1} + y^{-1} is 3.55