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Popular >

simplify-81^{1/4}

Solution

simplify

- 8 1^{\frac{1}{4}}

Solution

- 3

Solution steps

- 8 1^{\frac{1}{4}}

Factor the number:

81 = 3^{4}

= - (3^{4})^{\frac{1}{4}}

Apply exponent rule:

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

= - 3^{4 \cdot \frac{1}{4}}

4 \cdot \frac{1}{4} = 1

= - 3^{1}

Apply exponent rule:

a^{1} = a

3^{1} = 3

= - 3

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Frequently Asked Questions (FAQ)

What is simplify-81^{1/4} ?
The solution to simplify-81^{1/4} is -3