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Popular >

simplify 32^{8/5}

Solution

simplify

3 2^{\frac{8}{5}}

Solution

256

Solution steps

3 2^{\frac{8}{5}}

Factor the number:

32 = 2^{5}

= (2^{5})^{\frac{8}{5}}

Apply exponent rule:

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

= 2^{5 \cdot \frac{8}{5}}

5 \cdot \frac{8}{5} = 8

= 2^{8}

2^{8} = 256

= 256

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Frequently Asked Questions (FAQ)

What is 32^{8/5} ?
The solution to 32^{8/5} is 256