Multiplying and Evaluating Fractions

This video tutorial explains how to multiply fractions with exponents, focusing on three scenarios: like bases, different bases with the same exponents, and different bases with different exponents. For like bases, exponents are added. For different bases with the same exponents, bases are multiplied first, then raised to the power. For different bases and exponents, each fraction is evaluated separately before multiplying the results. The video provides step-by-step calculations and examples to illustrate each case.

What is the result of multiplying one-half cubed by one-half squared?

• 1/4

• 1/32

• 1/16

• 1/8

When multiplying fractions with like bases, what operation is performed on the exponents?

• Divide them

• Subtract them

• Multiply them

• Add them

What is the simplified result of multiplying two-thirds cubed by three-fourths cubed?

• 1/8

• 1/4

• 1/2

• 1/16

If two fractions have different bases but the same exponent, what is a simpler way to evaluate them?

• Multiply the bases and raise to the power

• Subtract the bases and raise to the power

• Divide the bases and raise to the power

• Add the bases and raise to the power

What is the result of raising two-thirds to the second power?

• 8/27

• 4/9

• 16/81

• 2/3

How do you handle fractions with different bases and different exponents?

• Evaluate each separately and multiply the results

• Evaluate each separately and divide the results

• Evaluate each separately and add the results

• Evaluate each separately and subtract the results

What is the result of cubing three-fourths?

• 27/64

• 9/16

• 243/1024

• 81/256

What is the final result when multiplying 4/9 by 27/64?

• 27/64

• 9/32

• 3/16

• 1/4

What is the first step when dealing with different bases and exponents?

• Add the exponents

• Multiply the bases

• Evaluate each fraction separately

• Subtract the exponents

What is the result of multiplying 1/3 by 3/4?

• 1/4

• 3/4

• 1/3

• 1/2