Exponent Rules and Fraction Operations

The video tutorial explains two methods for simplifying fractions with exponents. It first demonstrates how to simplify 5/8 squared by multiplying the fraction by itself and then by applying the exponent separately to the numerator and denominator. Both methods yield the same result of 25/64. The tutorial then covers simplifying 3/5 cubed, again using both methods: multiplying the fraction by itself three times and applying the exponent separately to the numerator and denominator, resulting in 27/125.

What is the result of expanding and multiplying 5/8 squared?

• 5/16

• 25/64

• 64/25

• 10/16

When applying the exponent separately to the numerator and denominator of 5/8 squared, what is the result?

• 5/8

• 5^2/8^2

• 25/8

• 5/64

What is the expanded form of 3/5 cubed?

• 3/5 * 3/5 * 3/5 * 3/5

• 3/5 * 3/5

• 3/5 * 3/5 * 3/5

• 3/5

What is the result of multiplying the expanded form of 3/5 cubed?

• 81/125

• 27/64

• 27/125

• 9/25

When applying the exponent separately to the numerator and denominator of 3/5 cubed, what is the result?

• 3^2/5^2

• 9/25

• 3/5

• 3^3/5^3