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Simplify the following using the law of exponents. $9^{2} \times 9^{18} \times 9^{10}$

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9^{30}

9^{25}

9^{15}

9^{10}

answer is A.

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Detailed Solution

Given that,

9^{2} \times 9^{18} \times 9^{10}

.
We know that, if the base is the same for the product of exponential numbers, then the exponents add up.
Thus,

9^{2} \times 9^{18} \times 9^{10} = 9^{2 + 18 + 10}

\Rightarrow 9^{30}

Therefore, option (1) is correct.

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