Exponents - Product and Power Rule

Front

What is the Product Rule of Exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: c^12 ∗ c^13

Back

c^25

Front

What is the Power Rule of Exponents?

Back

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

Front

Simplify: -4m^2 ∗ m^2

Back

-4m^4

Front

Simplify: 2x^3 ∗ 4x^5

Back

8x^8

Front

Simplify: x ∗ x

Back

x^2

Front

What happens when you multiply two different bases with the same exponent?

Back

You can multiply the bases together and keep the exponent: a^n * b^n = (a*b)^n.

Front

Simplify: (5^2 c^3)^5

Back

5^10 c^15

Front

What is the value of any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero is 1: a^0 = 1.

Front

What is the value of a number raised to the power of one?

Back

Any number raised to the power of one is the number itself: a^1 = a.