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Popular >

simplify (49^{1/2})^4

Solution

simplify

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

Solution

2401

Solution steps

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

Apply exponent rule:

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

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

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

= 4 9^{2}

4 9^{2} = 2401

= 2401

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Frequently Asked Questions (FAQ)

What is (49^{1/2})^4 ?
The solution to (49^{1/2})^4 is 2401