Question

How to solve 32^((1)/(2))*2^(-(1)/(2))

Answer 1

AnswEr :

$\large\longrightarrow {32}^{ \frac{1}{2} } \times {2}^{ \frac{ - 1}{2} }$

$\large\longrightarrow ({2}^{5})^{ \frac{1}{2} } \times {2}^{ \frac{ - 1}{2} }$

$\large\longrightarrow {2}^{ \frac{5}{2} } \times {2}^{ \frac{ - 1}{2} }$

☢ As Base are Same ; So we will Add the Power.

$\large\longrightarrow {2}^{( \frac{5}{2} - \frac{1}{2} )}$

$\large\longrightarrow {2}^{ \frac{4}{2} }$

$\large\longrightarrow {2}^{2}$

$\large\longrightarrow2 \times 2$

$\purple{ \large\longrightarrow \huge4}$

$\huge{\red{\ddot{\smile}}}$