Multiplying Powers with Like Bases

When multiplying like bases, you _____________ exponents.

• add

• subtract

• divide

• multiply

• y¹⁶
• y³
• 16y
• y⁴⁸

3⁴ ⋅ 3⁷

• 3²⁸

• 3³

• 3^-3

• 3¹¹

• 5⁸

• 5⁶

• 5²

• 1

• 5^-8
• 5²
• 25^-8
• 25²

• 25⁶⁰
• 25¹⁷
• 5⁶⁰
• 5¹⁷

Simplify. Write your answer using exponents.

Mathematical Equivalence

ON

According to exponent rules, when we multiply two power with the same base we ​ (a)   ____ the exponents.
Example: c⁶ ⋅ c⁴

According to exponent rules, when we raise the power to a power we ​ (b)   ______ the exponents.
Example: (d²)⁵

According to exponent rules, when we divide two powers with the same base we ​ (c)   ______ the exponents.
Example: h⁸ / ^h3

• add

• subtract

• multiply

• divide

Mathematical Equivalence

OFF

According to exponent rules, when we multiply two power with the same base we ​ (a)   ____ the exponents.
Example: c⁶ ⋅ c⁴

According to exponent rules, when we raise the power to a power we ​ (b)   ______ the exponents.
Example: (d²)⁵

According to exponent rules, when we divide two powers with the same base we ​ (c)   ______ the exponents.
Example: h⁸ / ^h3

• add

• subtract

• multiply

• divide