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Popular >

simplify (8)^{5/3}

Solution

simplify

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

Solution

32

Solution steps

8^{\frac{5}{3}}

Factor the number:

8 = 2^{3}

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

Apply exponent rule:

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

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

3 \cdot \frac{5}{3} = 5

= 2^{5}

2^{5} = 32

= 32

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Frequently Asked Questions (FAQ)

What is (8)^{5/3} ?
The solution to (8)^{5/3} is 32