Monomial Operations

Multiplying Monomials

100

b²(b⁸)

b¹⁰

200

3x⁴(5x⁵)

15x⁹

300

2w(7w²)(3w)

42w⁴

400

2x²(5x^-2)

10

500

3z²(5z^-8)

15/z⁶

Power to Power

100

(2²)³

64

200

(x³)⁷

x²¹

300

(b⁴)⁵

b²⁰

400

(3x⁵)²

9x¹⁰

500

(4x²)³(2x)²

64x⁶(4x²)

256x⁸

Dividing Monomials

100

x³/x

x²

200

b⁷/b³

b⁴

300

m²⁷/m²⁹

1/m²

400

(3j²)/(15j⁵)

1/5j³

500

3x⁵/6x⁶

1/2x

Add/Subtract Monomials

100

2xy + 5xy - 7xy

zero!

200

3x²y³ - 7x²y³

-4x²y³

300

3xy + x² - xy + x²

2xy + 2x²

400

-xyz + 3xyz - x + y

2xyz - x + y

500

3xy² + 4x - 2xy² - 2x + 5y

2x + xy² + 5y

Mixed Operations

100

(2x²)(3x²)/x³ 

6x

200

(7x³)(yx²)(y³) - (2x)⁴(xy⁴⁾

-11x⁵y⁴

300

(3yx⁴/xy) - x³

2x³

400

4x³(x³/x⁵) - 5xy/y

-x

500

(2xy)² - 2xy(3xy)

-2x²y²