Finding a Power of an Algebraic Fraction
(KS3, Year 8)
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: an. It has a base of a with an exponent of n.
- The bottom of the fraction is a power: bn. It has a base of 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.Worksheet
This test is printable and sendable