Laws of Exponents - Product Rule

Front

What is the Product Rule of Exponents?

Back

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

Front

Simplify: (-7y^2)(5y^4)

Back

-35y^6

Front

Simplify: c^4 ⋅ c^3

Back

c^7

Front

Simplify: 3x^4 ⋅ 6x^6

Back

18x^10

Front

Simplify: r^6 ⋅ r^2 ⋅ r^3

Back

r^11

Front

Simplify: 5a^3b^5 ⋅ 3a^2b^2

Back

15a^5b^7

Front

What happens to the exponents when multiplying terms with the same base?

Back

The exponents are added together.

Front

If a^3 * a^5 = a^x, what is the value of x?

Back

x = 8.

Front

What is the result of multiplying 2^3 and 2^2?

Back

2^(3+2) = 2^5 = 32.

Front

How do you simplify (x^2)(x^3)?

Back

x^(2+3) = x^5.