What is (x^2y)/4*(16x)/y ?

The solution to (x^2y)/4*(16x)/y is 4x^3

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simplify (x^2y)/4*(16x)/y

simplify

\frac{x ^{2} y}{4} \cdot \frac{16 x}{y}

4 x^{3}

Solution steps

\frac{x ^{2} y}{4} \cdot \frac{16 x}{y}

Apply the fraction rule:

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

= \frac{x ^{2} y \cdot 16 x}{4 y}

Cancel the common factor:

y

= \frac{x ^{2} \cdot 16 x}{4}

Divide the numbers:

\frac{16}{4} = 4

= x^{2} \cdot 4 x

Apply exponent rule:

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

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

= x^{2 + 1} \cdot 4

Add the numbers:

2 + 1 = 3

= x^{3} \cdot 4

= 4 x^{3}

\frac{b}{3} + \frac{1}{8} = 19

15 \geq \frac{5}{3} (d - 6)

∣ x + 1 ∣ \geq 0

117 x^{2} + 55 x - 28

3 \cdot \frac{2}{9}