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Popular >

simplify sqrt((x-1)^{10)}

Solution

simplify

(x - 1)^{10}

Solution

(x - 1)^{5}

Solution steps

(x - 1)^{10}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((x - 1)^{10})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x - 1)^{10 \cdot \frac{1}{2}}

10 \cdot \frac{1}{2} = 5

= (x - 1)^{5}

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Frequently Asked Questions (FAQ)

What is sqrt((x-1)^{10)} ?
The solution to sqrt((x-1)^{10)} is (x-1)^5