What is 0.1875x^2(2/3 x) ?

The solution to 0.1875x^2(2/3 x) is 0.125x^3

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simplify 0.1875x^2(2/3 x)

simplify

0.1875 x^{2} (\frac{2}{3} x)

0.125 x^{3}

Solution steps

0.1875 x^{2} (\frac{2}{3} x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{2} x = x^{2 + 1}

= 0.1875 \cdot \frac{2}{3} x^{2 + 1}

Add the numbers:

2 + 1 = 3

= 0.1875 \cdot \frac{2}{3} x^{3}

Multiply fractions:

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

= 0.1875 \cdot \frac{2 x ^{3}}{3}

Multiply fractions:

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

= \frac{2 x ^{3} \cdot 0.1875}{3}

Multiply the numbers:

2 \cdot 0.1875 = 0.375

= \frac{0.375 x ^{3}}{3}

Divide the numbers:

\frac{0.375}{3} = 0.125

= 0.125 x^{3}

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