Product and Power Rule

Front

What is the Product Rule in algebra?

Back

The Product Rule states that when multiplying two expressions with the same base, you keep the base the same and add the exponents.

Front

Simplify: (4x^5y^2)(6x^2y^3)

Back

24x^7y^5

Front

What happens to the exponents when using the Product Rule?

Back

You add the exponents.

Front

Simplify: (-4x^2y^3)^3

Back

-64x^6y^9

Front

What is the Power Rule in algebra?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents.

Front

Simplify: (r^4)^6

Back

r^24

Front

What is the result of multiplying two powers with the same base?

Back

You add the exponents.

Front

Simplify: (-2mn)(3m^2n^4)^2

Back

-18m^5n^9

Front

What is the result of (x^a)(x^b)?

Back

x^(a+b) (You add the exponents.)

Front

If a^m * a^n = a^x, what is x?

Back

x = m + n (You add the exponents.)