Exploring the Law of Exponents

What is the first step when applying the product rule to multiply monomials?

• Multiply the exponents

• Add the exponents with the same base

• Divide the coefficients

• Subtract the exponents

If you have 3x^2 * 4x^3, what is the resulting coefficient?

• 9

• 6

• 12

• 7

In the expression 2y^3 * 5y^2, what is the exponent of y in the result?

• 5

• 6

• 7

• 8

When dividing monomials, what operation is performed on the exponents with the same base?

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

• Add the exponents

What is the result of dividing 8a^5 by 4a^2?

• 2a^3

• 2a^7

• 4a^7

• 4a^3

In the quotient rule, what do you do with the coefficients?

• Add them

• Divide them

• Subtract them

• Multiply them

What is the result of (3x^2y^3)^2?

• 6x^4y^6

• 9x^4y^6

• 9x^2y^3

• 6x^2y^3

When raising a coefficient to a power, what operation is performed?

• Subtract the coefficient from itself

• Add the coefficient to itself

• Multiply the coefficient by itself

• Divide the coefficient by itself

What is the exponent of x in the expression (2x^3)^4?

• 12

• 7

• 4

• 3

In the power to power rule, what do you do with the exponents?

• Divide them

• Add them

• Subtract them

• Multiply them