Properties of Exponents

Products of Power

100

a^4 * a^7

a^11

300

a^3 * a^4/b^6 * b^7 + c^4 * c^2 * c^5 

a^7/b^13 +c^11

500

(a² * b³) * (a * b²)

 a³ * b⁵

Quotient of powers

100

2^5 / 2^2

2^3

300

x^7 / x^3

x^4

500

(3y^4z) / (y^2)

3y^2z

Power of Power

100

(2^3)^2

2^6 or 64

300

(x^4)^5

x^20

500

((x^3)^2)^4

x^24

Negative exponent Property

100

2^-1

1 over 2^1

300

(2x * 3y)^-6

1 over (2x * 3y)^-6

500

5x^-5 * 9x^-3 * 7x^-4

1 over 315x^-12

Zero Exponent Property

100

a^0

1

300

a^0 * 9 + b^0

10

500

a^0 * -3^2

-9