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

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Solution

Step: simplifying using laws of exponents

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

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

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