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

Back

-35y^6

Front

Simplify: (x^2)(x^5)

Back

x^7

Front

Simplify: (2a^2b^4z)(6a^3b^2z^5)

Back

12a^5b^6z^6

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^13

Front

Simplify: 3x^4 ⋅ 6x^6

Back

18x^10

Front

What happens to the exponents when multiplying two powers with the same base?

Back

You add the exponents.

Front

If a^3 * a^2 = a^x, what is the value of x?

Back

x = 5.

Front

What is the result of (b^4)(b^3)?

Back

b^7.

Front

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

Back

6x^5.