Question

Simplify, giving solution with positive index
$\left(5a^{2}b\right)\left(2a{b}^2\right)\left(a^{3}b\right)$

Answer 1

Step: simplifying using laws of exponents

Given,$\left(5a^{2}b\right)\left(2a{b}^2\right)\left(a^{3}b\right)$
it can be written as :
$\left(5a^{2}b\right)\left(2a{b}^2\right)\left(a^{3}b\right)$
$=5\times 2\times a^{2+1+3}\times b^{1+2+1}$
[$\because a^m\times a^n=a^{m+n}$]
on further calculation, we have
$\left(5a^{2}b\right)\left(2a{b}^2\right)\left(a^{3}b\right)=10a^6{b}^4$

Hence,$\left(5a^{2}b\right)\left(2a{b}^2\right)\left(a^{3}b\right)=10a^6{b}^4$.