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Popular >

simplify sqrt((x^2-1)^3)

Solution

simplify

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

Solution

(x^{2} - 1)^{\frac{3}{2}}

Solution steps

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

Apply radical rule:

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

= ((x^{2} - 1)^{3})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (x^{2} - 1)^{3 \cdot \frac{1}{2}}

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

= (x^{2} - 1)^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((x^2-1)^3) ?
The solution to sqrt((x^2-1)^3) is (x^2-1)^{3/2}