Mastering Exponent Properties Practice

This video tutorial covers various exponent properties, including adding, subtracting, multiplying, and dividing monomials. It explains the power rule and quotient rule, providing examples and exercises for students to practice. The tutorial emphasizes the importance of understanding when to add or subtract exponents and how to simplify expressions effectively.

What must be true for monomials to be added or subtracted?

• They must have different variables.

• They must have the same coefficients.

• They must have the same variables with the same exponents.

• They must have different exponents.

What is the result of adding 3a^3b^2 and -5a^3b^2?

• 0

• -2a^3b^2

• 2a^3b^2

• 8a^3b^2

When multiplying monomials, what do you do with the exponents?

• Multiply them

• Add them

• Divide them

• Subtract them

What is the result of (a^4) * (a^3)?

• a^1

• a^7

• a^12

• a^4

What is the coefficient of (-1)^2?

• 2

• 0

• 1

• -1

What is the result of dividing k^9 by k^5?

• k^1

• k^5

• k^4

• k^14

What is the result of (4x^2y^2)^2?

• 16x^4y^4

• 8x^4y^4

• 16x^2y^2

• 4x^4y^4

What is the result of (a^2b^1c^3)^4?

• a^4b^4c^12

• a^8b^2c^6

• a^6b^4c^9

• a^8b^4c^12

What is the result of (6a^5b^3) / (4a^1b^2)?

• 3/2 a^6 b

• 2/3 a^4 b

• 2/3 a^6 b

• 3/2 a^4 b

What is the simplified form of (3x^2y^3)^4?

• 27x^8y^12

• 81x^8y^12

• 27x^6y^9

• 81x^6y^9