Properties of Exponents

Do You Know The Facts?

100

Monomials with the same variables and exponents are?

What is Like Terms?

200

True or False? We change the variables and exponents when adding monomials.

False

300

To raise a monomial to a power, use what rule?

What is the Power Rule?

400

To multiply monomials, use what rule?

What is the Product Rule?

500

To divide monomials, use what rule?

What is the Quotient Rule?

Adding & Subtracting Monomials

100

-15a³bc + 6a³bc

-9a³bc

200

-25x⁴y³ - 25x⁴y³

-50x⁴y³

300

10m² n + 7 mn² - m²n

9m²n + 7mn²

400

Subtract -5ab² from -10ab²

-5ab²

500

From -9cd², subtract -2cd²

-7cd²

Multiplying Monomials

100

(x²)(x³) 

x⁵

200

(4x²)(3x⁵) 

12x⁷

300

(ab)(6a⁵b)(-ab)

-6a⁷b³

400

-4(rs²)(-5r⁴s)

20r⁵s³

500

(1/4)(8mn)(-6m²n²)

-12m³n³

Powers of Monomials

100

(x²)⁵

x¹⁰

200

(2x²y)⁵

32x¹⁰y⁵

300

(-2p⁴q⁶)²

4p⁸q¹²

400

(-3x²)³

-27x⁶

500

(-4c³d⁴)⁴

256c¹²d¹⁶

Mixed Problems

100

8x² - x² - 12x²+(2x)²

-x²

200

(b⁶)(b⁴) - 3b¹⁰

-4b¹⁰

300

(2x⁹y⁵)⁴(-3xy³)

-48x³⁷ y²³

400

2(3a²)³ - 3(4a³)²

6a⁶

500

 (-3ab)⁴ + (-2a²b²)² - 13a⁴b⁴

68a⁴b⁴