What is 1/2 x^3(3/2 x^2) ?

The solution to 1/2 x^3(3/2 x^2) is (3x^5)/4

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simplify 1/2 x^3(3/2 x^2)

simplify

\frac{1}{2} x^{3} (\frac{3}{2} x^{2})

\frac{3 x ^{5}}{4}

Solution steps

\frac{1}{2} x^{3} (\frac{3}{2} x^{2})

Apply the fraction rule:

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

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

Simplify

1 \cdot x^{3} \frac{3}{2} x^{2} : \frac{x ^{5} \cdot 3}{2}

= \frac{\frac{x ^{5} \cdot 3}{2}}{2}

Apply the fraction rule:

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

= \frac{x ^{5} \cdot 3}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{x ^{5} \cdot 3}{4}

= \frac{3 x ^{5}}{4}

ln (3) x^{- 4}

0.68 e^{- \frac{0.5}{1.987 \cdot 1 0 ^{- 3} \cdot 100}}

0.1 k^{0.2} (4 k)^{0.8}

82.94 e^{- 0.053 \cdot (\frac{207}{365})} \cdot 0.7116

4.8 \cdot 1 0^{- 1}