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Popular >

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

Solution

simplify

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

Solution

x^{2} - 1

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

Apply exponent rule:

a^{1} = a

= x^{2} - 1

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Frequently Asked Questions (FAQ)

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