Question

সরল কর: $\left(\frac{a^2b^{-1}}{a^{-2}b}\right)^2$

Answer 1

$\left(\frac{a^2b^{-1}}{a^{-2}b}\right)^2$

$=\left(\frac{a^2}{a^{-2}}\times\frac{b^{-1}}{b}\right)^2$

$=\left(a^{2-\left(-2\right)}\times b^{-1-1}\right)^2$

$=\left(a^{2+2}\times b^{-1-1}\right)^2$

$=\left(a^4\times b^{-2}\right)^2$

$=a^8\times b^{-4}$

$=a^8\times\frac{1}{b^4}$

$=\frac{a^8}{b^4}$ [Answer]

Answer 2

$\left(\frac{a^2b^{-1}}{a^{-2}b}\right)^2$

$=\left(\frac{a^2\frac{1}{b}}{\frac{1}{a^2}b}\right)^2$

$=\left(\frac{\frac{a^2}{b}^{}}{\frac{b}{a^2}}\right)^2$

$=\left(\frac{a^2}{b}\times\frac{a^2}{b}\right)^2$

$=\left(\frac{a^4}{b^2}\right)^2$

$=\frac{a^8}{b^4}$ [Answer]