Exploring Powers of Fractions and Exponents

The video tutorial explains exponentiation using fractions, focusing on two examples: cubing 2/3 and squaring 4/9. It demonstrates two methods for each example: multiplying the fraction by itself multiple times and starting with 1 and multiplying by the fraction repeatedly. The tutorial emphasizes understanding both methods to achieve the same result.

What is the result of raising 2/3 to the third power?

• 8/27

• 4/9

• 2/3

• 16/81

Which of the following is a correct way to raise a fraction to a power?

• Multiplying the fraction by itself the number of times indicated by the power

• Dividing the fraction by itself the number of times indicated by the power

• Subtracting the fraction from itself the number of times indicated by the power

• Adding the fraction to itself the number of times indicated by the power

What is the numerator when 2/3 is raised to the third power?

• 27

• 8

• 9

• 6

What is the denominator when 2/3 is raised to the third power?

• 27

• 9

• 8

• 6

What is another way to view raising 2/3 to the third power?

• Starting with 1 and multiplying it by 2/3 three times

• Starting with 2 and multiplying it by 3 three times

• Starting with 3 and multiplying it by 2 three times

• Starting with 1 and adding 2/3 three times

What is the result of raising 4/9 to the second power?

• 8/27

• 16/81

• 4/9

• 2/3

What is the term used when raising a number to the second power?

• Cubing

• Squaring

• Doubling

• Quadrupling

What is the term used when raising a number to the third power?

• Tripling

• Cubing

• Doubling

• Squaring