Question

Simplify and express the answer in the positive exponent form:​(vi) $(a^3{b}^{-5}{)}^{-2}$

Answer 1

Given : $(a^3{b}^{-5}{)}^{-2}$
It can be written as:
$(a^3{b}^{-5}{)}^{-2}=a^{3\times -2}{b}^{-5\times -2}$
[$\because$ $(ab{)}^m=a^m{b}^m$]
$=a^{-6}{b}^{10}$
$=\frac{b^{10}}{a^6}$
Hence, $(a^3{b}^{-5}{)}^{-2}=\frac{b^{10}}{a^6}$.