Multiplying Exponents

True or False: When we are multiplying exponents with the same base, we keep the base and subtract the exponents.

• True

• False

Answer explanation

When we are multiplying exponents with the same base, we keep the base and add the exponents.

5² x 5⁷ = 5^(blank). What number goes in the blank?

(a)  

Answer explanation

5² x 5⁷ = 5 ^{2 + 7} = 5⁹

What is the correct answer to 3⁴ x 3³?

• 3⁰

• 3⁷

• 3¹²

• 3^-1

Answer explanation

3⁴ x 3³ = 3 ^{4 + 3} = 3⁷

9¹ x 9¹ = 9^(blank). What number goes in the blank?

(a)  

Answer explanation

9¹ x 9¹ = 9 ^{1 + 1} = 9²

What is the correct answer to 8⁶ x 8⁵?

• 8⁸

• 8³⁰

• 8¹

• 8¹¹

Answer explanation

8⁶ x 8⁵ = 8 ^{6 + 5} = 8¹¹

7¹ x 7⁴ x 7² = 7^(blank). What number goes in the blank?

(a)  

Answer explanation

7¹ x 7⁴ x 7² = 7 ^{1 + 4 + 2} = 7⁷

What is the correct answer to 6⁷ x 6¹?

• 6⁶

• 6⁸

• 6⁷

• 6^-6

Answer explanation

6⁷ x 6¹ = 6 ^{7 + 1} = 6⁸

Show your work and solve for 1⁹ x 1¹

Answer explanation

1⁹ x 1¹ = 1 ^{9 + 1} = 1¹⁰

Show your work and solve for 2² x 2² x 2²

Answer explanation

2² x 2² x 2² = 2^{2 + 2 + 2} = 2⁶

How confident do you feel about multiplying exponents?

• I feel great!

• I'm on my way to understanding!

• With more practice, I think I'll get it

• I don't understand it at all...