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Popular >

expand sqrt(x^7)

Solution

expand

x^{7}

Solution

x^{3} x

Solution steps

x^{7}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= x^{6} x^{1}

Apply radical rule:

a \cdot b = a b

= x^{6} x^{1}

Apply exponent rule:

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

x^{6} = x^{3 \cdot 2} = (x^{3})^{2}

= (x^{3})^{2} x^{1}

Apply radical rule:

assuming

a \geq 0

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

= x^{3} x^{1}

Apply rule

a^{1} = a

x^{1} = x

= x^{3} x

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Frequently Asked Questions (FAQ)

What is expand sqrt(x^7) ?
The solution to expand sqrt(x^7) is x^3sqrt(x)