Product of Powers

Front

What is the Product of Powers Property?

Back

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

Front

Simplify: x^10 ⋅ x^4

Back

x^14

Front

Simplify: m^5 ⋅ m^2

Back

m^7

Front

Simplify: 3^3 ⋅ 3

Back

3^4

Front

Simplify the expression: (a^5)(a^4)

Back

a^9

Front

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

Back

c^11

Front

If a^3 ⋅ a^2 = a^x, what is x?

Back

x = 5

Front

What happens when you multiply a power by itself?

Back

You add the exponents: a^m ⋅ a^m = a^(m+m) = a^(2m).

Front

Simplify: 2^4 ⋅ 2^3

Back

2^7

Front

What is the result of any number raised to the power of 0?

Back

Any number (except 0) raised to the power of 0 is 1.