Product Law of Exponents :-
In multiplication, if base is the same then add exponents.
Which of the following can be solved using Product law of exponents?

x \times x^{2} \times x^{3}

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x^{2} \times y^{3}

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x \times x^{2} \times y^{2}

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a^{2} \times b^{2}

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Solution

The correct option is A $x \times x^{2} \times x^{3}$
As the law requires the base to be same $(x)$ , we get the solution as
$x \times x^{2} \times x^{3}$ = $x^{(1 + 2 + 3)}$ = $x^{6}$
Therefore option $A$ is the correct answer.

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