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Popular >

simplify (sqrt(16))^4

Solution

simplify

(16)^{4}

Solution

256

Solution steps

(16)^{4}

Rewrite

4

as

2 \cdot 2

= (16)^{2 \cdot 2}

Apply exponent rule:

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

(16)^{2 \cdot 2} = ((16)^{2})^{2}

= ((16)^{2})^{2}

Apply exponent rule:

(16)^{2} = 16

= 1 6^{2}

1 6^{2} = 256

= 256

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Frequently Asked Questions (FAQ)

What is (sqrt(16))^4 ?
The solution to (sqrt(16))^4 is 256