Properties of Integer Exponents

Product of Power

100

2³ x 2⁴ 

What is 2³⁺⁴ = 2⁷?

200

4² x 4⁶

What is 4²⁺⁶ = 4⁸ ?

300

12⁹ x 12¹ 

What is 12⁹⁺¹ = 12¹⁰ ?

400

a^m x aⁿ

What is a^m+n ?

500

K⁴ x K²⁰

What is K⁴⁺²⁰ = K²⁴ ?

Power of Products

100

3² x 6²

What is (3x6)² = 18²

200

7⁵ x 8⁵

What is (7x8)⁵ = 56⁵

300

12¹² x 10¹²

What is (12 x 10)¹² = 120¹²

400

a^m x b^m

What is (ab)^m ?

500

L⁵ x N⁵

What is (LN)⁵ ?

Power of Powers

100

(3²)²

What is 3^{2 x 2} = 3⁴ ?

200

(5²)³

What is 5^{2 x 3} = 5⁶

300

(4⁵)³

What is 4^{5 x 3} = 4¹⁵

400

(a^m)ⁿ

What is a^{m x n} ?

500

(V³)⁴

What is V^{3 x 4} = V¹² ?

Quotient of Powers

100

2⁶ / 2⁴

What is 2^6-4 = 2²

200

6⁶ / 6³

What is 6^6-3 = 6³ ?

300

11⁹ / 11⁷

What is 11^9-7 = 11² ?

400

a^m / aⁿ

What is a^m-n ?

500

K⁴ / K²

What is K^4-2 ?

Vocab

100

A whole number that can be positive or negative.

What is an Integer?

200

2⁴  -> The two in this expression.

What is the Base?

300

2⁶  -> The six in this expression.

What is an exponent?

400

In mathematics, it is expressions that are equal even though they look different.

What are Equivalent Expressions?

500

2 x 2 x 2 x 2 x 2 is the _____________  of 2⁵

What is the expanded form?