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Exercise

$\frac{5^{n+1}x^{n+2}}{3^{n+1}}$

Step-by-step Solution

1

Rewrite $\frac{5^{\left(n+1\right)}x^{\left(n+2\right)}}{3^{\left(n+1\right)}}$ using the property of the power of a quotient: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

$\left(\frac{5}{3}\right)^{\left(n+1\right)}x^{\left(n+2\right)}$

Final answer to the exercise

$\left(\frac{5}{3}\right)^{\left(n+1\right)}x^{\left(n+2\right)}$

Try other ways to solve this exercise

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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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