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Popular >

simplify sqrt(4)^4

Solution

simplify

4^{4}

Solution

16

Solution steps

(4)^{4}

Rewrite

4

as

2 \cdot 2

= (4)^{2 \cdot 2}

Apply exponent rule:

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

(4)^{2 \cdot 2} = ((4)^{2})^{2}

= ((4)^{2})^{2}

Apply exponent rule:

(4)^{2} = 4

= 4^{2}

4^{2} = 16

= 16

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Frequently Asked Questions (FAQ)

What is sqrt(4)^4 ?
The solution to sqrt(4)^4 is 16