Raising Fractions to Powers

The video tutorial explains how to evaluate fractions raised to powers, similar to whole numbers. It provides two examples: squaring 3/4 and cubing 2/3. The process involves multiplying the fraction by itself as many times as indicated by the exponent. Alternatively, the numerator and denominator can be raised to the power separately. The tutorial emphasizes that both methods yield the same result.

What is the main similarity between raising fractions and whole numbers to powers?

• Both involve dividing the base by itself.

• Both involve multiplying the base by itself a number of times.

• Both involve subtracting the base repeatedly.

• Both involve adding the base repeatedly.

When raising 3/4 to the power of 2, what is the result of multiplying the numerators?

• 12

• 9

• 6

• 16

What is the result of multiplying the denominators when raising 3/4 to the power of 2?

• 20

• 12

• 16

• 8

How can you alternatively calculate 3/4 squared?

• By dividing the numerator by the denominator.

• By subtracting the numerator from the denominator.

• By adding the numerator and denominator.

• By squaring the numerator and denominator separately.

What is the base when raising 2/3 to the power of 3?

• 2

• 3

• 2/3

• 3/2

What is the result of multiplying the numerators when raising 2/3 to the power of 3?

• 8

• 6

• 4

• 10

What is the result of multiplying the denominators when raising 2/3 to the power of 3?

• 18

• 9

• 36

• 27

How can you alternatively calculate 2/3 cubed?

• By cubing the numerator and denominator separately.

• By subtracting the numerator from the denominator.

• By dividing the numerator by the denominator.

• By adding the numerator and denominator.