A power can have an algebraic fraction raised to an exponent.
Imagine we have an algebraic fraction

Please tell us using

**with an exponent**^{a}⁄_{b}**n**. We raise both top and bottom of the fraction to the exponent**n**. This is equal to**. This is a laws of exponents.**^{an}⁄_{bn}## How to Find a Power of an Algebraic Fraction

## Question

Use the law of exponents to find the power with the algebraic fraction below.## Step-by-Step:

## 1

Find the exponent of the power. In our example, the exponent is

**2**.## 2

Find the top letter (called the numerator) of the fraction. In our example, the numerator is

**x**.## 3

Raise the letter found in

**Step 2**(x) to the exponent found in**Step 1**(2). This becomes the numerator of the answer.## 4

Find the bottom letter (called the denominator) of the fraction. In our example, the denominator is

**y**.## 5

Raise the letter found in

**Step 4**(y) to the exponent found in**Step 1**(2). This becomes the denominator of the answer.## Answer:

We have found the power of an algebraic fraction.## Understanding Finding a Power of an Algebraic Fraction

Let us look at the rule for powers of an algebraic fraction: Firstly, let us look at what is to the left of the equals sign (=): Let us look at the right hand side of the equals sign (=):- The right hand side is an algebraic fraction.
- The top of the fraction is a power:
**a**. It has a base of^{n}**a**with an exponent of**n**. - The bottom of the fraction is a power:
**b**. It has a base of^{n}**b**with an exponent of**n**.

## More Examples of Finding the Power of an Algebraic Fraction

Algebraic fractions do not just contain single letters.- When an algebraic fraction has a number, we can find the power:
- When an algebraic fraction has a term, we can find the power. Notice that the whole term is raised to the exponent:
- When an algebraic fraction has a expression, we can find the power. Notice that the whole expression is raised to the exponent:

## What Is an Algebraic Fraction?

An algebraic fraction is a fraction which contains letters.## You might also like...

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