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Popular >

simplify sqrt(10)^4

Solution

simplify

10^{4}

Solution

100

Solution steps

(10)^{4}

Rewrite

4

as

2 \cdot 2

= (10)^{2 \cdot 2}

Apply exponent rule:

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

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

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

Apply exponent rule:

(10)^{2} = 10

= 1 0^{2}

1 0^{2} = 100

= 100

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Frequently Asked Questions (FAQ)

What is sqrt(10)^4 ?
The solution to sqrt(10)^4 is 100