Exponent Laws: Key Concepts and Applications

The video tutorial covers exponent laws focusing on monomials, including the product, power, and quotient rules. Each rule is explained with examples, and students are encouraged to practice using these rules. The tutorial concludes with practice questions and an exit task to reinforce learning.

What is the product rule used for?

• Subtracting exponents

• Multiplying coefficients and adding exponents

• Adding exponents

• Dividing coefficients

In the expression 3x^2 * 2x^3, what is the result using the product rule?

• 6x^5

• 5x^6

• 6x^6

• 5x^5

What should you do if there is no common base in the product rule?

• Add the coefficients

• Subtract the exponents

• Multiply the coefficients

• Leave the expression as it is

How do you apply the power rule to the expression (3x^2y^3)^3?

• Subtract the exponents

• Divide the exponents by 3

• Add the exponents

• Multiply the exponents by 3

What is the result of (2p^5)^3 using the power rule?

• 6p^15

• 8p^15

• 6p^8

• 8p^8

What is the quotient rule used for?

• Multiplying coefficients

• Adding exponents

• Subtracting coefficients

• Dividing coefficients and subtracting exponents

In the expression 14x^3 / 2x^2, what is the result using the quotient rule?

• 7x^4

• 7x^3

• 7x^2

• 7x

What is the degree of the polynomial 6x^7y^8z^3?

• 3

• 18

• 8

• 7

What is the result of (4a^5b)^2 / (6a^2b^3)^2 using the power and quotient rules?

• 16a^10b^2 / 36a^2b^6

• 16a^10b^2 / 36a^4b^3

• 16a^5b / 36a^2b^3

• 16a^10b^2 / 36a^4b^6

What mistake did Sonia make in her solution using the three rules?

• She added the exponents instead of multiplying them

• She did not distribute the exponent correctly

• She subtracted the exponents instead of adding them

• She divided the coefficients incorrectly