GCSE Maths - What to do when a Fraction has a Power (Powers Part 4/6) #32

The video tutorial explains how to apply powers to fractions by addressing the numerator and denominator separately. It provides three examples: squaring a fraction, raising a fraction to a power, and simplifying a fraction before applying a power. The key concept is to apply the power to both the numerator and denominator individually, and when raising a power to another power, multiply the exponents. The tutorial also covers simplifying fractions with the same base before applying powers.

When you square a fraction like 3/4, how do you apply the power?

• Square only the numerator

• Square only the denominator

• Square both the numerator and the denominator

• Add the power to both the numerator and the denominator

If you have a fraction a/b^2 raised to the power of 3, what is the correct way to apply the power?

• Apply the power to both the numerator and the denominator

• Add the power to both the numerator and the denominator

• Multiply the power by the denominator only

• Multiply the power by the numerator only

What is the result of raising a^3 divided by b^6 to a power?

• a^9 divided by b^6

• a^9 divided by b^18

• a^3 divided by b^6

• a^3 divided by b^18

How do you simplify a fraction with the same base in the numerator and denominator before applying a power?

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

• Add the exponents

What is the final result of simplifying x^-2 / x^4 and then raising it to the power of 3?

• x^18

• x^6

• x^-18

• x^-6