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Popular >

simplify (64)^{1/2}

Solution

simplify

(64)^{\frac{1}{2}}

Solution

8

Solution steps

6 4^{\frac{1}{2}}

Factor the number:

64 = 8^{2}

= (8^{2})^{\frac{1}{2}}

Apply exponent rule:

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

= 8^{2 \cdot \frac{1}{2}}

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

= 8^{1}

Apply exponent rule:

a^{1} = a

= 8

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Frequently Asked Questions (FAQ)

What is (64)^{1/2} ?
The solution to (64)^{1/2} is 8