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Popular >

simplify (sqrt(10))^6

Solution

simplify

(10)^{6}

Solution

1000

Solution steps

(10)^{6}

Rewrite

6

as

2 \cdot 3

= (10)^{2 \cdot 3}

Apply exponent rule:

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

(10)^{2 \cdot 3} = ((10)^{2})^{3}

= ((10)^{2})^{3}

Apply exponent rule:

(10)^{2} = 10

= 1 0^{3}

1 0^{3} = 1000

= 1000

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Frequently Asked Questions (FAQ)

What is (sqrt(10))^6 ?
The solution to (sqrt(10))^6 is 1000