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Popular >

simplify sqrt(2)^{20}

Solution

simplify

2^{20}

Solution

1024

Solution steps

(2)^{20}

Rewrite

20

as

2 \cdot 10

= (2)^{2 \cdot 10}

Apply exponent rule:

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

(2)^{2 \cdot 10} = ((2)^{2})^{10}

= ((2)^{2})^{10}

Apply exponent rule:

(2)^{2} = 2

= 2^{10}

2^{10} = 1024

= 1024

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Frequently Asked Questions (FAQ)

What is sqrt(2)^{20} ?
The solution to sqrt(2)^{20} is 1024