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Popular >

simplify (sqrt(2))^{10}

Solution

simplify

(2)^{10}

Solution

32

Solution steps

(2)^{10}

Rewrite

10

as

2 \cdot 5

= (2)^{2 \cdot 5}

Apply exponent rule:

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

(2)^{2 \cdot 5} = ((2)^{2})^{5}

= ((2)^{2})^{5}

Apply exponent rule:

(2)^{2} = 2

= 2^{5}

2^{5} = 32

= 32

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Frequently Asked Questions (FAQ)

What is (sqrt(2))^{10} ?
The solution to (sqrt(2))^{10} is 32