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Exercise

$\frac{\left(-1\right)^n\left(x-4\right)^n}{4^n}$

Step-by-step Solution

1

Rewrite $\frac{{\left(-1\right)}^n\left(x-4\right)^n}{4^n}$ using the property of the power of a quotient: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

${\left(\left(-\frac{1}{4}\right)\right)}^n\left(x-4\right)^n$

Final answer to the exercise

${\left(\left(-\frac{1}{4}\right)\right)}^n\left(x-4\right)^n$

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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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