Question

simplify {(1/4)^-3-(1/3)^-3}÷(1/4)^-2​

Answer 1

Answer:

$=108$

Step-by-step explanation:

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

$=(\frac{3}{12} -\frac{4}{12})^{-3}$÷$4^{2}$  ∴ $( \frac{a}{b} )^{-2} =( \frac{b}{a} )^{2}$

$=(\frac{-1}{12} )^{-3}$÷$4^{2}$

$=( -12)^{3}$÷$(4)^{2}$

$=1728$÷$16$

$=108$