Question

please solve and let me know the answer with steps thank you​

Answer 1

Answer:

I have mentioned the answer in the pic..

hope it helps..

Answer 2

Given:

• $\large{\sf{\bigg[\bigg(\dfrac{1}{4}\bigg)^{-3}-\bigg(\dfrac{1}{3}\bigg)^{-3}\bigg]÷\bigg(\dfrac{1}{4}\bigg)^{-2}}}$

Solution:

We know that, $\large{\sf\bigg({\frac{a}{b}\bigg)^{-m}}}$ can be written as $\large{\sf\bigg(\dfrac{b}{a}\bigg)^{m}}$

Therefore,

$\large{\sf{\bigg[\bigg(\dfrac{1}{4}\bigg)^{-3}-\bigg(\dfrac{1}{3}\bigg)^{-3}\bigg]÷\bigg(\dfrac{1}{4}\bigg)^{-2}}}$

$\large{\implies{\sf{\bigg[\bigg(\dfrac{4}{1}\bigg)^{3}-\bigg(\dfrac{3}{1}\bigg)^{3}\bigg]÷\bigg(\dfrac{4}{1}\bigg)^{2}}}}$

$\large{\implies{\sf{\bigg(64-27\bigg)÷16}}}$

$\large{\implies{\sf{ 37 ÷ 16}}}$

$\large{\implies{\sf{2.312}}}$