Product Rule of Exponents with Monomials

What is the result of multiplying monomials with the same base according to the Product Rule?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

Simplify the expression: (3x³)(3x⁵).

• 9x⁸

• 6x⁸

• 9x¹⁵

• 6x¹⁵

How do you solve:
(2x⁵)(6x⁴)

• MULTIPLY coefficients
  MULTIPLY exponents

• DIVIDE coefficients
  SUBTRACT exponents

• Combine like terms

• MULTIPLY coefficients
  ADD exponents

Simplify the following:

y⁴ ⋅ y¹²

• y¹⁶

• y³

• 16y

• y⁴⁸

When you are multiplying monomials using the Product Rule, ​​ ​ (a)   must be the same and ​ (b)   exponents.

• bases

• add

• numbers

• variables

• letters

• coefficents

• exponents

When you are multiplying monomials using the Product Rule, ​​ ​ must be the same and ​ exponents.

• bases

• add

• numbers

• variables

• letters

• coefficents

• exponents

For the Product Rule, you ​ (a)   the exponents.

• add

• subtract

• multiply

• divide

Match the expression with the exponent operation needed to simplify

• multiply the exponents

• x³ ⋅ x⁵

• the expression will not simplify

• x² + x⁵

• add coefficients and keep the variable

• (x²)⁵

• add the exponent

• 4x³ + 3x³

• subtract the exponents

• 27x

• 27x²

• 12x

• 12x²

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

• Add

• Subtract

• Multiply

• Divide