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Exercise

$\frac{3a^3y^2}{4y}\cdot\frac{8y}{9a}$

Step-by-step Solution

1

Simplify the fraction $\frac{3a^3y^2}{4y}$ by $y$

$\frac{3a^3y}{4}\frac{8y}{9a}$
2

Multiplying fractions $\frac{3a^3y}{4} \times \frac{8y}{9a}$

$\frac{24a^3y\cdot y}{36a}$
3

When multiplying two powers that have the same base ($y$), you can add the exponents

$\frac{24a^3y^2}{36a}$
4

Simplify the fraction $\frac{24a^3y^2}{36a}$ by $a$

$\frac{24a^{2}y^2}{36}$
5

Take $\frac{24}{36}$ out of the fraction

$\frac{2}{3}a^{2}y^2$

Final answer to the exercise

$\frac{2}{3}a^{2}y^2$

Try other ways to solve this exercise

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  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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$a+2a+9a$

Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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