Laws of Exponents: Product Rule

Front

What is the Product Rule of Exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add their exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify the expression: c^4 ⋅ c^3 = ?

Back

c^7

Front

Simplify the expression: 2x^3y^5 ⋅ 5xy^2 = ?

Back

10x^4y^7

Front

Simplify the expression: (2a^2b^4z)(6a^3b^2z^5) = ?

Back

12a^5b^6z^6

Front

Identify the BASE in the expression: 2^3 = 8.

Back

2

Front

If a^m * a^n = a^5, what is m + n?

Back

m + n = 5.

Front

What happens when you multiply two different bases?

Back

You cannot combine the bases; you can only multiply their coefficients.

Front

Simplify: 3x^2 ⋅ 4x^5 = ?

Back

12x^7

Front

What is the result of 5^0?

Back

1 (Any non-zero number raised to the power of 0 is 1.)

Front

If x^3 ⋅ x^2 = x^n, what is n?

Back

n = 5.