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Popular >

simplify (81)^{3/4}

Solution

simplify

(81)^{\frac{3}{4}}

Solution

27

Solution steps

8 1^{\frac{3}{4}}

Factor the number:

81 = 3^{4}

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

Apply exponent rule:

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

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

4 \cdot \frac{3}{4} = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is (81)^{3/4} ?
The solution to (81)^{3/4} is 27