Question

evaluate
exponents and power​

Answer 1

Solution :

$\implies \:( ( \frac{1}{3} ) {}^{ - 1} - {( \frac{1}{4} )}^{ - 1} ) {}^{ - 1} \\ \\ \implies \: (( \frac{1}{ \frac{1}{3} } ) {}^{1} - ( \frac{1}{ \frac{1}{4} } ){}^{1} ) {}^{ - 1} \\ \\ \implies \: ( { (\frac{3}{1} )}^{1} - { (\frac{4}{1} )}^{1} ) {}^{ - 1} \\ \\ \implies \: {(3 - 4)}^{ - 1}$

Option A is correct .

Formula used :

$\star \ \bold {{ {p}^{ - n} = \frac{1}{ {p}^{n} } }}$