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Popular >

expand (x^{2-2/x})^9

Solution

expand

(x^{2 - \frac{2}{x}})^{9}

Solution

x^{\frac{18 x - 18}{x}}

Solution steps

(x^{2 - \frac{2}{x}})^{9}

Apply exponent rule:

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

= x^{(2 - \frac{2}{x}) \cdot 9}

Simplify

(2 - \frac{2}{x}) \cdot 9 : \frac{9 ( 2 x - 2 )}{x}

= x^{\frac{9 ( 2 x - 2 )}{x}}

\frac{9 ( 2 x - 2 )}{x} = \frac{18 x - 18}{x}

= x^{\frac{18 x - 18}{x}}

Popular Examples

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Frequently Asked Questions (FAQ)

What is expand (x^{2-2/x})^9 ?
The solution to expand (x^{2-2/x})^9 is x^{(18x-18)/x}