Grade 7 Exponents Notes

Flashcards covering key vocabulary and rules of exponents.

Base

The number being multiplied.

Exponent (or Power)

How many times the base is multiplied.

Squared

Raised to the power of 2 (e.g. 5^2 = 25)

Cubed

Raised to the power of 3 (e.g. 4^3 = 64)

Rule 1: Multiply with same base

a^m × a^n = a^(m+n). When multiplying with the same base, add the exponents.

Rule 2: Divide with same base

a^m ÷ a^n = a^(m-n). When dividing with the same base, subtract the exponents.

Rule 3: Power of a Power

(a^m)^n = a^(m×n). When raising a power to a power, multiply the exponents.

Rule 4: Any number to the power of 0

a^0 = 1 (if a not equal to 0). Any number to the power of 0 equals 1.

Rule 5: 1 raised to any power

1^n = 1. 1 raised to any power is 1.