Understanding Fractions with Exponents

In this video, Mr. J explains how to solve fractions with exponents through four example problems. He demonstrates the process of expanding the base fraction by the exponent and multiplying the fractions. Each problem is solved step-by-step, with explanations on how to simplify the results. The video concludes with a summary and additional tips for simplifying fractions.

What is the base in the expression 2/5 to the power of 3?

• 2/5

• 5

• 3

• 2

How many times do you multiply 2/5 by itself in the expression 2/5 to the power of 3?

• 3 times

• 2 times

• 5 times

• 10 times

What is the result of 2/5 to the power of 3?

• 4/125

• 8/25

• 8/125

• 4/25

In the expression 1/2 to the power of 5, what is the numerator of the result?

• 10

• 5

• 2

• 1

What is the denominator of the result for 1/2 to the power of 5?

• 16

• 32

• 64

• 128

What is the result of 3/10 to the power of 4?

• 27/1000

• 81/1000

• 27/10000

• 81/10000

How many times do you multiply 3/10 by itself in the expression 3/10 to the power of 4?

• 2 times

• 3 times

• 4 times

• 5 times

What is the unsimplified result of 4/6 to the power of 2?

• 2/3

• 4/9

• 8/18

• 16/36

What is the simplified result of 4/6 to the power of 2?

• 16/36

• 8/18

• 4/9

• 2/3

Which of the following is a correct simplification step for 16/36?

• Divide by 2

• Divide by 3

• Divide by 4

• Divide by 5