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Popular >

simplify-32^{4/5}

Solution

simplify

- 3 2^{\frac{4}{5}}

Solution

- 16

Solution steps

- 3 2^{\frac{4}{5}}

Factor the number:

32 = 2^{5}

= - (2^{5})^{\frac{4}{5}}

Apply exponent rule:

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

= - 2^{5 \cdot \frac{4}{5}}

5 \cdot \frac{4}{5} = 4

= - 2^{4}

- 2^{4} = - 16

= - 16

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Frequently Asked Questions (FAQ)

What is simplify-32^{4/5} ?
The solution to simplify-32^{4/5} is -16