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Popular >

simplify sqrt(2)^{16}

Solution

simplify

2^{16}

Solution

256

Solution steps

(2)^{16}

Rewrite

16

as

2 \cdot 8

= (2)^{2 \cdot 8}

Apply exponent rule:

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

(2)^{2 \cdot 8} = ((2)^{2})^{8}

= ((2)^{2})^{8}

Apply exponent rule:

(2)^{2} = 2

= 2^{8}

2^{8} = 256

= 256

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Frequently Asked Questions (FAQ)

What is sqrt(2)^{16} ?
The solution to sqrt(2)^{16} is 256