State whether True or False.
On multiplying $a^{2}, a b$ and $b^{2}$ , we get the answer as $a^{3} b^{3}$ .

True

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False

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Solution

The correct option is A True
The given terms are $a^{2}, a b$ and $b^{2}$
On multiplying the given terms, we get:
$a^{2} \times a b \times b^{2}$
Using the laws of exponent, we know that, $a^{m} \times a^{n} = a^{m + n}$
$∴ a^{2} \times a b \times b^{2} = a^{2 + 1} b^{1 + 2}$
$\Rightarrow a^{3} b^{3}$
$∴ a^{2} \times a b \times b^{2} = a^{3} b^{3}$

Hence, the given statement is true.

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