Understanding the Quotient Property of Exponents

This video tutorial reviews the quotient property of exponents, which states that when dividing like bases, you subtract the exponents. The video provides three examples: simplifying Y to the power of exponents, simplifying fractions and X exponents, and simplifying A and B exponents. Each example demonstrates the application of the quotient property and verifies results by expanding expressions.

What is the quotient property of exponents?

• Add the exponents when dividing like bases.

• Subtract the exponents when dividing like bases.

• Multiply the exponents when dividing like bases.

• Divide the exponents when dividing like bases.

In the expression Y^6 / Y^4, what is the simplified form?

• Y^10

• Y^2

• Y^24

• Y^0

How can you verify the quotient property of exponents?

• By multiplying the exponents.

• By expanding the expressions and simplifying.

• By adding the exponents.

• By dividing the exponents.

What is the simplified form of the fraction 18/24?

• 3/4

• 2/3

• 4/5

• 5/6

In the expression X^9 / X^5, what is the simplified form?

• X^5

• X^0

• X^14

• X^4

What is the simplified form of the fraction 25/35?

• 5/7

• 2/3

• 7/5

• 1/2

What is the result of A^5 / A^5?

• 1

• A^5

• A^10

• A^0

In the expression B^12 / B^10, what is the simplified form?

• B^10

• B^0

• B^22

• B^2

Why is any number to the power of zero equal to one?

• Because it is a mathematical rule.

• Because it simplifies to one.

• Because it simplifies to zero.

• Because it represents a single factor.

What is the simplified form of 5/7 B^2?

• B^2 / 5/7

• 7/5 B^2

• 5/7 B^2

• 5/7 B