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

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

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

simplify

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

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

Solution steps

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

Multiply the numbers:

3 \cdot 1 = 3

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

12 m^{3} - 14 m^{2} - 30 m + 35

9 (t + 2) = 3 (3 t - 2)

\frac{1}{5} t^{2} - 36 = 0

lo g_{4} (192) - lo g_{4} (3)

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

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