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Popular >

simplify sqrt(2)^{40}

Solution

simplify

2^{40}

Solution

1048576

Solution steps

(2)^{40}

Rewrite

40

as

2 \cdot 20

= (2)^{2 \cdot 20}

Apply exponent rule:

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

(2)^{2 \cdot 20} = ((2)^{2})^{20}

= ((2)^{2})^{20}

Apply exponent rule:

(2)^{2} = 2

= 2^{20}

2^{20} = 1048576

= 1048576

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Frequently Asked Questions (FAQ)

What is sqrt(2)^{40} ?
The solution to sqrt(2)^{40} is 1048576