Monomial Operations

Adding Monomials

100

To add monomials, _________ _________ ________.

Combine Like Terms

200

10pqr + pqr

11pqr

300

-14c⁷d² + 7c⁷d²

-7c⁷d²

400

20a⁵b⁸ + 45a⁵b⁸

65a⁵b⁸

500

(x²y³z + x²y³z² ) + (2x²y³z -3x²y³z² )

3x²y³z -2x²y³z²

Subtracting Monomials

100

To subtract monomials, _________ _______ _________.

Combine Like Terms

200

-8k - (-8k)

0

300

11x² - 3x²

8x²

400

10x⁵y² - 14x⁵y²

-4x⁵y²

500

(x²y³z + x²y³z² ) - (2x²y³z -3x²y³z² )

(-x²y³z +4x²y³z² )

Multiplying Monomials

100

To multiple monomials, use the power rule: x^a * x^b = 

x^{a + b}

200

2⁶ * 2¹³

2²²

300

c⁵ * d⁰ * c⁴

c⁹

400

(9k⁵) * (-2k²)

-18k⁷

500

(3x²y³z) * (-6x²y³z² )

-18x⁴y⁶z³

Powers of Monomials

100

To raise a monomial to a power, use the power rule: (x^a)^b=

x^{a x b}

200

(8²)⁵

8¹⁰

300

(5n⁴)³

125n¹²

400

(4c⁹d²)²

16c¹⁸d⁴

500

(-9x³y⁴z⁵)⁵

-59,049x¹⁵y²⁰z²⁵

Dividing Monomials

100

To divide monomials, use the quotient rule: x^a / x^b =

x^{a - b}

200

10¹⁵ / 10³

10¹²

300

m⁸n¹⁶ / m⁴n²

m⁴n¹⁴

400

15x³y² / 12x³y

5/4y

500

(-6x²y³z² )/(3x²y³z)

-2z