Fractional Exponents and Operations

This video tutorial explains how to multiply terms with fractional exponents. It begins with an example of multiplying like bases, where the exponents are added. The process of finding a common denominator to add fractional exponents is detailed. The tutorial then covers a scenario with non-like bases, explaining that exponents cannot be added in such cases. The video concludes with a reminder of the rules for multiplying exponents and the importance of common denominators when adding fractions.

What is the first step when multiplying terms with the same base and fractional exponents?

• Subtract the exponents

• Multiply the exponents

• Add the exponents

• Divide the exponents

When adding fractional exponents, what must you find first?

• The sum of the numerators

• A common denominator

• The least common multiple

• The greatest common factor

What is the common denominator for the fractions 1/2 and 3/5?

• 5

• 10

• 20

• 15

What is the result of adding the fractions 5/10 and 6/10?

• 13/10

• 11/10

• 12/10

• 10/10

What is the simplified form of x^(1/2) * x^(3/5)?

• x^(9/10)

• x^(11/10)

• x^(12/10)

• x^(8/10)

What is the key takeaway when multiplying terms with like bases and fractional exponents?

• Always multiply the exponents

• Always add the exponents

• Always divide the exponents

• Always subtract the exponents

What do you do with the exponents when the bases are different?

• Multiply them

• Subtract them

• Add them

• Leave them unchanged

In the expression x^(3/4) * y^(4/5), why can't the exponents be added?

• Because the bases are fractions

• Because the exponents are already simplified

• Because the exponents are not whole numbers

• Because the bases are not the same