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Popular >

simplify x^{(-7)/2}*2x^{(-1)/2}

Solution

simplify

x^{\frac{- 7}{2}} \cdot 2 x^{\frac{- 1}{2}}

Solution

\frac{2}{x ^{4}}

Solution steps

x^{\frac{- 7}{2}} \cdot 2 x^{\frac{- 1}{2}}

Apply exponent rule:

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

x^{\frac{- 7}{2}} x^{\frac{- 1}{2}} = x^{\frac{- 7}{2} + \frac{- 1}{2}}

= x^{\frac{- 7}{2} + \frac{- 1}{2}} \cdot 2

\frac{- 7}{2} + \frac{- 1}{2} = - 4

= x^{- 4} \cdot 2

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

x^{- 4} = \frac{1}{x ^{4}}

= \frac{1}{x ^{4}} \cdot 2

Simplify

\frac{1}{x ^{4}} \cdot 2 : \frac{2}{x ^{4}}

= \frac{2}{x ^{4}}

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Frequently Asked Questions (FAQ)

What is x^{(-7)/2}*2x^{(-1)/2} ?
The solution to x^{(-7)/2}*2x^{(-1)/2} is 2/(x^4)