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Popular >

simplify-16^{5/4}

Solution

simplify

- 1 6^{\frac{5}{4}}

Solution

- 32

Solution steps

- 1 6^{\frac{5}{4}}

Factor the number:

16 = 2^{4}

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

Apply exponent rule:

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

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

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

= - 2^{5}

- 2^{5} = - 32

= - 32

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Frequently Asked Questions (FAQ)

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