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Popular >

simplify (sqrt(0.5))^4

Solution

simplify

(0.5)^{4}

Solution

0.25

Solution steps

(0.5)^{4}

Rewrite

4

as

2 \cdot 2

= (0.5)^{2 \cdot 2}

Apply exponent rule:

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

(0.5)^{2 \cdot 2} = ((0.5)^{2})^{2}

= ((0.5)^{2})^{2}

Apply exponent rule:

(0.5)^{2} = 0.5

= 0. 5^{2}

0. 5^{2} = 0.25

= 0.25

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Frequently Asked Questions (FAQ)

What is (sqrt(0.5))^4 ?
The solution to (sqrt(0.5))^4 is 0.25