What is ((3x^2)/(9x^{-1)})(6xy) ?

The solution to ((3x^2)/(9x^{-1)})(6xy) is 2x^4y

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simplify ((3x^2)/(9x^{-1)})(6xy)

simplify

(\frac{3 x ^{2}}{9 x ^{- 1}}) (6 x y)

2 x^{4} y

Solution steps

(\frac{3 x ^{2}}{9 x ^{- 1}}) (6 x y)

Apply rule:

(a) = a

(\frac{3 x ^{2}}{9 x ^{- 1}}) = \frac{3 x ^{2}}{9 x ^{- 1}}

= \frac{3 x ^{2}}{9 x ^{- 1}} \cdot 6 x y

Cancel

\frac{3 x ^{2}}{9 x ^{- 1}} : \frac{x ^{3}}{3}

= \frac{x ^{3}}{3} \cdot 6 x y

Apply the fraction rule:

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

= \frac{x ^{3} \cdot 6 x y}{3}

Divide the numbers:

\frac{6}{3} = 2

= x^{3} \cdot 2 x y

Simplify

x^{3} x : x^{4}

= x^{4} \cdot 2 y

= 2 x^{4} y

∣ x + 3 ∣ = 7

x^{2} + 13 x = - 42

3 ∣ 2 x - 3 ∣ = 21

1.1 (x - 0.7) + 0.5 x = 1.4 (x - 1.4) + 0.63

∣ x - 1 ∣ \leq 2

What is ((3x^2)/(9x^{-1)})(6xy) ?
The solution to ((3x^2)/(9x^{-1)})(6xy) is 2x^4y