Question

Simplify ,giving solution with positive index
$(-3{)}^2(3{)}^3$

Answer 1

Step: simplifying using laws of exponents

Given ,$(-3{)}^2(3{)}^3$
it can be written as:
$(-3{)}^2(3{)}^3=(-1\times 3{)}^2(3{)}^3$
On further calculation, we have
$=(-1{)}^2\times 3^2{3}^3$
$=(-1{)}^2\times 3^{2+3}$ [$\because a^m\times a^n=a^{m+n}$]
$=\left(1\right)\times 3^5$
$=3^5$

Hence,$(-3{)}^2(3{)}^3=3^5$.