Exponent Rules

Product

100

What does x^3 . x⁸=?

What is x¹¹?

200

When you have the same exponent but different bases that are multiplied, that is called _________ property

Power of a product property

300

2^{4 .} 3⁴=?

What is 6⁴?

400

3^4 . 3⁶=?

What is 3¹⁰?

500

When two bases are the same and you add the exponents that is called the _________ property

Product of a power property

Power to Power

100

What is the answer to (x³)²?

What is x⁶?

200

What is the answer to (2⁵)⁹?

What is 2⁴⁵?

300

What does 6m³ n^3 . 8m² n³=?

What is 56m⁵ n⁶?

400

What is the general rule for product to product?

What (a^m)ⁿ = a^mn?

500

To raise a power to another power, write the base and ___ the exponents.

multiply

Negative Exponents

100

What is the answer to (-3)²?

What is 9?

200

If (-4)² equals 8 then what is -4²?

What is -8?

300

What does (3x^-2 y)(-2xy^-3)=?

What is -6/xy²?

400

True or False: you can keep a negative exponent in an equation?

False

500

How do you change a negative exponent to a positive one?

You flip the exponent over the fraction line

Zero

100

What is the answer to y⁰?

What is 1?

200

What does (7a³ b^-2)⁰=?

What is 1?

300

What is the rule for the Zero Property?

What is x⁰=1?

400

What is (62v^4 . 16vy-⁷)⁰

What is 1?

500

What is the product you get every time you use the zero rule?

1

Quotient

100

What does x⁵/x²=?

What is x³?

200

What is the answer to x² y⁵/x y³?

What is xy²?

300

What is the answer to -3m^-3/-4m²?

3/4m⁵

400

What is the rule for the Quotient Property?

What is a^m/aⁿ = a^m-n?

500

If dividing two numbers with the same base,you  ____ the exponents.

Subtract