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Popular >

simplify sqrt(2)^4

Solution

simplify

2^{4}

Solution

4

Solution steps

(2)^{4}

Rewrite

4

as

2 \cdot 2

= (2)^{2 \cdot 2}

Apply exponent rule:

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

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

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

Apply exponent rule:

(2)^{2} = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

What is sqrt(2)^4 ?
The solution to sqrt(2)^4 is 4