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Popular >

simplify (32)^{2/5}

Solution

simplify

(32)^{\frac{2}{5}}

Solution

4

Solution steps

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

Factor the number:

32 = 2^{5}

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

Apply exponent rule:

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

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

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

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is (32)^{2/5} ?
The solution to (32)^{2/5} is 4