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Exercise

$4\left(\frac{\sqrt{9x}}{y^2}\right)$

Step-by-step Solution

1

The power of a product is equal to the product of it's factors raised to the same power

$4\left(\frac{\sqrt{9}\sqrt{x}}{y^2}\right)$
2

Calculate the power $\sqrt{9}$

$4\left(\frac{3\sqrt{x}}{y^2}\right)$
3

Multiplying the fraction by $4$

$\frac{3\cdot 4\sqrt{x}}{y^2}$
4

Multiply $3$ times $4$

$\frac{12\sqrt{x}}{y^2}$

Final answer to the exercise

$\frac{12\sqrt{x}}{y^2}$

Try other ways to solve this exercise

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  • Factor by completing the square
  • Find the roots
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$-x-x$

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$a+2a+9a$

Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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