Solve 5/5^1/3=5^1/5^1/3=

$$\frac { 5 } { 5 ^ { 1 / 3 } } = \frac { 5 ^ { 1 } } { 5 ^ { 1 / 3 } } =$$

Verify

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract \frac{1}{3} from 1 to get \frac{2}{3}.

$$5^{\frac{2}{3}}=\frac{5^{1}}{5^{\frac{1}{3}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract \frac{1}{3} from 1 to get \frac{2}{3}.

$$5^{\frac{2}{3}}=5^{\frac{2}{3}}$$

As 5^{\frac{2}{3}} and 5^{\frac{2}{3}} have the same base, compare them by comparing their exponents.

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