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Popular >

simplify 3/2 xy(9x^2)

Solution

simplify

\frac{3}{2} x y (9 x^{2})

Solution

\frac{27 x ^{3} y}{2}

Solution steps

\frac{3}{2} x y (9 x^{2})

Apply exponent rule:

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

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

= \frac{3}{2} y \cdot 9 x^{1 + 2}

Add the numbers:

1 + 2 = 3

= \frac{3}{2} y \cdot 9 x^{3}

Multiply fractions:

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

= \frac{3 y \cdot 9 x ^{3}}{2}

Multiply the numbers:

3 \cdot 9 = 27

= \frac{27 x ^{3} y}{2}

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Frequently Asked Questions (FAQ)

What is 3/2 xy(9x^2) ?
The solution to 3/2 xy(9x^2) is (27x^3y)/2