simplify 2x^{-3/2}

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 1 = 2

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

62 - 43 - 38 + 133

x^{3} - x^{2} - 3 x + 2

38 - - 200 + 121

\frac{8 x ^{6} z ^{4} + 4 x ^{4} z ^{2}}{4 x ^{2} z}

\frac{- 4}{- 16}