Properties of Exponents

Front

Product of Powers Property

Back

a^m ⋅ a^n = a^{m+n}

Tags

CCSS.8.EE.A.1

Front

Example: 2^3 ⋅ 2^4

Back

2^{3+4} = 2^7 = 128

Tags

CCSS.8.EE.A.1

Front

Quotient of Powers Property

Back

a^m / a^n = a^{m-n}

Tags

CCSS.8.EE.A.1

Front

Example: 5^6 / 5^2

Back

5^{6-2} = 5^4 = 625

Tags

CCSS.8.EE.A.1

Front

Power of a Power Property

Back

(a^m)^n = a^{m ⋅ n}

Tags

CCSS.8.EE.A.1

Front

Example: (3^2)^3

Back

3^{2 ⋅ 3} = 3^6 = 729

Tags

CCSS.8.EE.A.1

Front

Power of a Product Property

Back

(ab)^n = a^n ⋅ b^n

Tags

CCSS.8.EE.A.1

Front

Example: (2 ⋅ 3)^4

Back

2^4 ⋅ 3^4 = 16 ⋅ 81 = 1296

Tags

CCSS.8.EE.A.1

Front

Power of a Quotient Property

Back

(a/b)^n = a^n / b^n

Tags

CCSS.8.EE.A.1

Front

Example: (4/5)^3

Back

4^3 / 5^3 = 64/125

Tags

CCSS.8.EE.A.1