Multiplying Powers with the Same Bases

• x³
• x⁹
• x
• 1

• y¹⁶
• y³
• 16y
• y⁴⁸

When multiplying exponential expressions with the same base, what always happens to the exponents?

• they are added together

• they are subtracted

• they are divided

• they are multiplied

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent

• When he multiplies exponents, he is supposed to multiply the base and keep the exponents

• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

• None of the above

• 5^-8
• 5²
• 25^-8
• 25²

Simplify. Write your answer using exponents.

Mathematical Equivalence

ON

• 25⁶⁰
• 25¹⁷
• 5⁶⁰
• 5¹⁷

To multiply two powers with the same base, ​ (a)   the exponents.

• add

• subtract

• multiply

• divide

• distribute

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

Match the following

• 10⁷

• 10⁵ x 10²

• 10²

• 10 x 10³

• 10³

• 10⁷ x 10²

• 10⁴

• 10 x 10

• 10⁹

• 10² x 10

Tags

8.EE.1 Integer Exponent Rules