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Popular >

simplify sqrt(5)^{4/3}

Solution

simplify

5^{\frac{4}{3}}

Solution

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

+1

Decimal Notation

2.92401 \dots

Solution steps

(5)^{\frac{4}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 5^{\frac{1}{2} \cdot \frac{4}{3}}

Cross-cancel common factor:

2

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

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Frequently Asked Questions (FAQ)

What is sqrt(5)^{4/3} ?
The solution to sqrt(5)^{4/3} is 5^{2/3}