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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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