Explanation Given: x 2 ( x 2 − 1 ) 1 2 − ( x 2 − 1 ) 1 2 x 2 x < − 1 or x > 1 Formula used: Exponent rules: a − b = 1 a b ; ( − a ) m n = ( − 1 ) m n ( a ) m n . Fraction rule: b c a = b c ⋅ a . Calculation: Applying the exponent rule for the given expression x 2 ( x 2 − 1 ) 1 2 − ( x 2 − 1 ) 1 2 x 2 , we get = x 2 − ( x 2 − 1 )

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ISBN: 9780321979476

Author: Michael Sullivan

Publisher: PEARSON

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Chapter R.8, Problem 97AE

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To find: $\frac{\frac{x^{2}}{{(x^{2} - 1)}^{\frac{1}{2}}} - {(x^{2} - 1)}^{\frac{1}{2}}}{x^{2}}$ $x < - 1$ or $x > 1$

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Chapter R.8, Problem 96AE

Chapter R.8, Problem 98AE

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x 2 ( x 2 − 1 ) 1 2 − ( x 2 − 1 ) 1 2 x 2 x &lt; − 1 or x &gt; 1

Solution Summary: The author explains the exponent rule for the given expression x 2 and the tion rule.

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To find: x 2 ( x 2 − 1 ) 1 2 − ( x 2 − 1 ) 1 2 x 2 x < −1 or x > 1

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x 2 ( x 2 − 1 ) 1 2 − ( x 2 − 1 ) 1 2 x 2 x < − 1 or x > 1

To find: $\frac{\frac{x^{2}}{{(x^{2} - 1)}^{\frac{1}{2}}} - {(x^{2} - 1)}^{\frac{1}{2}}}{x^{2}}$ $x < - 1$ or $x > 1$