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Popular >

simplify sqrt((x-7)^6)

Solution

simplify

(x - 7)^{6}

Solution

(x - 7)^{3}

Solution steps

(x - 7)^{6}

Apply radical rule:

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

= ((x - 7)^{6})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x - 7)^{6 \cdot \frac{1}{2}}

6 \cdot \frac{1}{2} = 3

= (x - 7)^{3}

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Frequently Asked Questions (FAQ)

What is sqrt((x-7)^6) ?
The solution to sqrt((x-7)^6) is (x-7)^3