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Popular >

simplify (sqrt(x))^8

Solution

simplify

(x)^{8}

Solution

x^{4}

Solution steps

(x)^{8}

Rewrite

8

as

2 \cdot 4

= (x)^{2 \cdot 4}

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

(x)^{2 \cdot 4} = ((x)^{2})^{4}

= ((x)^{2})^{4}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(x)^{2} = x

= x^{4}

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Frequently Asked Questions (FAQ)

What is (sqrt(x))^8 ?
The solution to (sqrt(x))^8 is x^4