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Exercise

$\frac{4x^0y^{-2}z^3}{4x}$

Step-by-step Solution

1

Any expression (except $0$ and $\infty$) to the power of $0$ is equal to $1$

$\frac{4y^{-2}z^3}{4x}$
2

Simplify the fraction $\frac{4y^{-2}z^3}{4x}$ by $4$

$\frac{y^{-2}z^3}{x}$
3

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{z^3}{xy^{2}}$

Final answer to the exercise

$\frac{z^3}{xy^{2}}$

Try other ways to solve this exercise

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$\left(x^3\right)\div\left(x^2-1\right)$

$\frac{2x^2-2y^2}{\sqrt[3]{x+y}}$

$6x^3y^2\div2y$

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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