Laws of Exponents

1 Law

100

x⁹∙x⁶

What is x¹⁵

200

k¹²/k⁶

What is k⁶

300

(2k+5g²)⁰

What is 1

400

(-5)^-2

What is 1/25

500

(5x²y³)⁴

What is 625x⁸y¹²

Product/Quotients

100

x/x

What is 1

200

(n¹⁰n⁶)/n¹

What is n¹⁵

300

(6⁹⁰6¹⁰)/6⁹⁹

What is 6

400

(6a²ba²)/(3ab³)

What is (3a³)/b²

500

(15a¹¹b⁷c⁵)/(9a¹⁵c²)

What is (5b⁷c³)/(3a⁴)

Product/Powers

100

(2x²)³

What is 8x⁶

200

(a⁵b⁶)⁷

What is a³⁵b⁴²

300

(2a)^3

What is 8a^3

400

(2a^3b^4)^4

What is 16a^12b^16

500

(7ab^2c^4)^2

What is 49a^2b^4c^8

Negatives/Quotient

100

x^-5

What is 1/x⁵

200

10¹³/10¹⁶

What is 1/1000

300

1/(x^-7)

What is x⁷

400

(3x^-8)/(y^-19)

What is (3y¹⁹)/(x⁸)?

500

(a⁵b^-3)/(a^-10b^-4)^-1

What is 1/(a¹⁵b)