What is simplify-1/2 x^{-3/2} ?

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

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simplify-1/2 x^{-3/2}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

x^{- \frac{3}{2}} = \frac{1}{x ^{\frac{3}{2}}}

= - \frac{1}{2} \cdot \frac{1}{x ^{\frac{3}{2}}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= - \frac{1 \cdot 1}{2 x ^{\frac{3}{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= - \frac{1}{2 x ^{\frac{3}{2}}}

8 n - 28

- 1 < x < 1

d + 0.5 = 0.75

5 x^{2} + 3 x - 9 = 0

72 + \frac{1}{4} 98

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