Equations and Exponents

2-Step Equations

100

x² - 9 = 16

x = +/- 5

200

3x² = 48

x = +/- 4

300

2x³ = 250

x = 5

400

x³ + 14 = 6

x = -2

500

x² + 117 = 53

No real solution

3-Step Equations

100

3x² + 7 = 82

x = +/- 5

200

2x³ - 15 = -13

x = 1

300

9x² + 20 = 101

x = +/-3

400

100x² - 600 = 4300

x = +/-7

500

4x³ + 4 = 260

x = 4

Exponent Rules

100

4x⁸⋅2x³y⁷

8x¹⁰y⁷

200

18a⁷b⁵ / 10a¹¹b

9b⁴ / a⁴

300

(5x⁶y³)⁴

5⁴x²⁴y¹²

400

2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅x³⋅x³⋅x³⋅x³

2⁸x¹²

500

8m²⁵n⁸p¹⁷ / 16m¹⁸n⁴p²¹

m⁷n⁴ / 2p⁴

Zero and Negative Rules

100

15⁰

1

200

4^-2x⁸y^-3

x⁸ / 4²y³

300

(6x^-3y⁸z)⁰⋅5x

5x

400

(8a⁰b^-2c⁷)^-4

b⁸ / 8⁴c²⁸

500

(2a⁶b⁷c^-8)^-2⋅4a⁰

c¹⁶ / a¹²b¹⁴

Multiple Rules

100

(8x⁶y)³⋅8^-3x^-18y^-3

1

200

(2a⁸b^-7c³)⋅(7a¹⁷b⁵c^-12)⁰

2a⁸c³ / b⁷

300

(2xy⁰z^-4)⋅3(x^-5yz¹⁰)²

6yz¹⁶ / x⁹

400

(8a^-2b⁸)⁵⋅(b⁵c^-2)

8⁵b⁴⁵ / a²c²

500

(4^ax^by⁸)³ / (4^ay^-8)

4^2ax^3by³²