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

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Solution

Step: simplifying using laws of exponents

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

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

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