Lesson 6 (Exponents & Exponential Functions)

Adding/Subtracting

100

19x-24x

-5x

200

9a²b+5ab²-a²b

8a²b+5ab²

300

2y+14z-11y-10z

-9y+4z

400

2/3x²y-1/4x²y

5/12x²y

500

From -3xy², subtract -10xy²

7xy²

Multiplying

100

(3x³)(7x²)

21x⁵

200

(mn)(8m²n)(-mn⁹)

-8m⁴n¹¹

300

16r(5/4q²r⁵)

20q²r⁶

400

17m⁶n¹¹-(5m⁵n²)(4mn⁹)

-3m⁶n¹¹

500

(-8c⁵d)(-4c³d⁴)-(9c⁷d²)(3cd³)

5c⁸d⁵

Dividing

100

-36c²d⁵/4c²d³

-9d²

200

(3x⁵)²/27x³

1/3x⁷

300

(2cd⁴)⁴/(2c²d³)²

4d¹⁰

400

(2pq)(3p²q⁴)/-6pq⁵

-p²

500

(2m²)³(3n⁴)³/9m⁴n⁷

6m²n⁵

Scientific Notation

100

(3.4x10²)+(5.2x10²)

8.6x10²

200

(7.24x10^-4)+(3.18x10^-5)

7.558x10^-4

300

(2.8x10¹)-(8.4x10^-1)

2.716x10¹

400

(9.8x10^-24)x(7.5x10²⁷)

7.35x10⁴

500

(1.2x10^-5)/(5x10^-6)

2.4x10⁰

Random

100

(-8c⁴d⁹)²

64c⁸d¹⁸

200

(6x⁵y^-4)^-2

y⁸/36x¹⁰

300

(6a²b)³(1/3abc)²

24a⁸b⁵c²

400

(-6x⁴y⁶)²/(-4x^-3y⁵)³

9x¹⁷/-16y³

500

(3x³y)⁴-(7x⁵y)²(x²y²)

32x¹²y⁴