What is simplify-3.5x^{-3/2} ?

The solution to simplify-3.5x^{-3/2} is -7/(2x^{3/2)}

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simplify-3.5x^{-3/2}

simplify

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

- \frac{7}{2 x ^{\frac{3}{2}}}

Solution steps

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

Apply exponent rule:

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

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

= - 3.5 \cdot \frac{1}{x ^{\frac{3}{2}}}

Apply the fraction rule:

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

= - \frac{3.5 \cdot 1}{x ^{\frac{3}{2}}}

Multiply the numbers:

3.5 \cdot 1 = 3.5

= - \frac{3.5}{x ^{\frac{3}{2}}}

Simplify

\frac{3.5}{x ^{\frac{3}{2}}} : \frac{35}{10 x ^{\frac{3}{2}}}

= - \frac{35}{10 x ^{\frac{3}{2}}}

Cancel

- \frac{35}{10 x ^{\frac{3}{2}}} : - \frac{7}{2 x ^{\frac{3}{2}}}

= - \frac{7}{2 x ^{\frac{3}{2}}}

63 + 125

(y + 5)^{2} (y - 5)^{2}

200 e^{- 0.005 (140)}

e^{- 12.4}

- 1.602 \cdot 1 0^{- 19} (15)

What is simplify-3.5x^{-3/2} ?
The solution to simplify-3.5x^{-3/2} is -7/(2x^{3/2)}