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Popular >

simplify (9^{1/2})^4

Solution

simplify

(9^{\frac{1}{2}})^{4}

Solution

81

Solution steps

(9^{\frac{1}{2}})^{4}

Apply exponent rule:

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

= 9^{\frac{1}{2} \cdot 4}

\frac{1}{2} \cdot 4 = 2

= 9^{2}

9^{2} = 81

= 81

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Frequently Asked Questions (FAQ)

What is (9^{1/2})^4 ?
The solution to (9^{1/2})^4 is 81