Question

( 2^-1 ÷ 2^-2 )^-3


please help ​

Answer 1

Question :

$\sf \small {(2}^{( - 1)} \div {2}^{( - 2)}) ^{3}$

Formula Used :

$\sf \small {a}^{m} \div {a}^{n}$

$\sf \small{a}^{m - n}$

Here,

• a → 2
• m → – 1
• n → – 3

Solution :

$\sf \small{(2}^{( - 1)} \div {2}^{( - 2)}) ^{3}$

$\sf \small\rightarrow2 ^{(( - 1) - ( - 3))^{3} }$

$\sf \small \rightarrow {2}^{( - 1 + 3)3}$

$\sf \small \rightarrow {2}^{(2)3}$

$\sf \small \rightarrow {2}^{6}$

$\sf \small \rightarrow64$

• So the answer is 64

Answer 2

$\large { \fcolorbox{gray}{black}{ ✔\: \textbf{Verified \: answer}}}$

( 2^-1 ÷ 2^-2 )^-3 = 16