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Popular >

simplify (5^{2/3})^{1/2}

Solution

simplify

(5^{\frac{2}{3}})^{\frac{1}{2}}

Solution

5^{\frac{1}{3}}

+1

Decimal Notation

1.70997 \dots

Solution steps

(5^{\frac{2}{3}})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

Cross-cancel:

2

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

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(2 x + 5)^{2} = 9

Frequently Asked Questions (FAQ)

What is (5^{2/3})^{1/2} ?
The solution to (5^{2/3})^{1/2} is 5^{1/3}