Cube root of 7^6 is (7^6)^1/3 (7^6)^1/3 = 7^(6 ×1/3) = 7^6/3 = 7^2 nbsp; nbsp; ...

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Rational Indices

Cube root of ...

Question

Cube root of $7^{6}$ is

7^{2}

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7^{3}

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7^{4}

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7^{5}

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Solution

The correct option is A $7^{2}$
Cube root of $7^{6}$ is $(7^{6})^{\frac{1}{3}}$
$(7^{6})^{\frac{1}{3}} = 7^{(6 \times \frac{1}{3})} = 7^{\frac{6}{3}} = 7^{2}$

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