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Popular >

factor sqrt(x^{11)}

Solution

factor

x^{11}

Solution

x^{5} x

Solution steps

x^{11}

Apply exponent rule:

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

= x^{10} x^{1}

Apply radical rule:

a \cdot b = a b

= x^{10} x^{1}

Apply exponent rule:

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

x^{10} = x^{5 \cdot 2} = (x^{5})^{2}

= (x^{5})^{2} x^{1}

Apply radical rule:

assuming

a \geq 0

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

= x^{5} x^{1}

Apply rule

a^{1} = a

x^{1} = x

= x^{5} x

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Frequently Asked Questions (FAQ)

What is factor sqrt(x^{11)} ?
The solution to factor sqrt(x^{11)} is x^5sqrt(x)