Question

Simplify :[4^ -1 /3^ -1 ]^ -2
answer fast​

Answer 1

Step-by-step explanation:

your question:

$( \frac{ {4}^{ - 1} }{ {3}^{ - 1} })^{ - 2}$

Your answer:

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

[ reciprocal to get positive power as one ]

$= ( \frac{3}{4} ) ^{ - 2}$

[ once again reciprocal it ]

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

[ now, you can square this number ]

$\frac{16}{9}$

Final answer:

$\huge\mathfrak{ \frac{16}{9} }$