Exponents and Square Roots

Product Rule

100

a⁸ x a³

a¹¹

200

a b² x a³ b⁵

a⁴ b⁷

300

2m⁴ n⁴ x m⁸ n³

2m¹² n⁷

400

4 a b⁷ c⁶ x 8 a³ b¹² c⁵

32 a⁴ b¹⁹ c¹¹

500

13 r⁷ s⁹ t⁶ x 7 r¹⁶ s⁵ t¹⁸

91 r²³ s¹⁴ t²⁴

Power to Power Rule

100

(x²)²

x⁴

200

(a b⁵)³

a³ b¹⁵

300

(2 m⁶ n⁴)⁵

32 m³⁰ n²⁰

400

(a² b⁵ x a³ b⁷)⁶

a³⁰ b⁷²

500

(2 r² s⁴ x 4 r⁵ s³)²

64 r¹⁴ s¹⁴

Quotient Rule

100

x¹⁰ / x⁴

x⁶

200

x⁷ y⁹ / x³ y⁵

x⁴ y⁴

300

18 x¹³ y¹⁷ / 3 x⁶ y⁹

6 x⁷ y⁸

400

72 a⁵ b¹⁷ c¹² / 8 a⁴ b¹⁷ c¹¹

9 a c

500

4 r⁸ s⁷ t²¹ / 12 r⁸ s⁷ t²¹

1/3

Negative Exponents

100

x^-3 / y^-2

y² / x³

200

x^-10 y^-4

1 / x¹⁰ y⁴

300

x^-6 y⁷ z^-8 / y^-2

y⁹ / x⁶ z⁸

400

12 x^-5 y^-4 / 2 z^-7

6 z⁷ / x⁵ y⁴

500

9 x^-5 y^-8 / 18 x^-5 y^-10

1 y² / 2

Random Math

100

x + 12 = 27

x = 15

200

2x = 26

x = 13

300

5x - 18 = 47

x = 13

400

Combine Like terms and solve for x

4x + 3 - 4 + 5x = 17

x = 2

500

Solve for x 5(x - 10) = 25

x = 15