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Simplify:(64)12Simplify: (64)^\frac{1}{2}Simplify:(64)21​​
Question

Simplify:(64)12Simplify: (64)^\frac{1}{2}

A.

12

B.

2

C.

8

D.

14

Correct option is C

Problem:

Simplify:
641264^{\frac{1}{2}}

Solution:

Concept:
The exponent 12\frac{1}{2}​ represents the square root of the base. Thus:
6412=6464^{\frac{1}{2}} = \sqrt{64}

Solution:
The square root of 64 is 8, because:
8 ×\times​ 8 = 64

Final Answer:

The simplified value is:
6412=864^{\frac{1}{2}} = 8

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