Exploring Multiplication Properties of Exponents

Mrs. Preston's video tutorial covers multiplication properties of exponents, focusing on the power to a power, product to a power, and quotient to a power rules. The video provides detailed explanations and examples for each rule, including handling negative exponents. Students are encouraged to practice with provided examples and quick checks to reinforce their understanding.

What does the 'power to a power' property of exponents allow you to do?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

If you have (a^3)^4, what is the simplified form?

• a^1

• a^7

• a^3

• a^12

When raising a product to a power, what should you do with the exponent?

• Add it to each base

• Subtract it from each base

• Multiply it by each base

• Distribute it to each base

What is the simplified form of (2a)^3?

• 6a

• 8a^3

• 2a

• 2a^3

What is the simplified form of (a^2b^3)^2?

• a^5b^5

• a^4b^6

• a^2b^3

• a^6b^4

How do you handle a negative exponent when raising a quotient to a power?

• Add it to the numerator

• Leave it as is

• Subtract it from the denominator

• Move it to the opposite side of the fraction

What is the simplified form of (3/5)^-2?

• 9/25

• 5/3

• 25/9

• 3/5

What is the result of (2a/b^2)^3?

• 2a/b^2

• 8a^3/b^6

• 2a^3/b^6

• 6a/b^2

If you have (x/y)^-3, what is the simplified form?

• x^3/y^3

• y^3/x^3

• x^-3/y^-3

• y^-3/x^-3

What is the simplified form of (2x/y)^-2?

• y^2/4x

• 4/y^2x^2

• y^2/4x^2

• 4x^2/y^2