Review of Exponent Laws

Exponents

100

Identify the base: 3²

What is 3?

200

Identify the exponent: 1⁶

What is 6?

300

Write the following using exponents: (2 x 2 x 2)

What is 2³? 

400

Evaluate: 3⁴

What is 81?

500

Write in expanded form: 9⁴

What is 9 x 9 x 9 x 9?

Product Rule

100

You do this to the exponents to multiply powers with the same base.

What is add?

200

Express the following as a single power: 5² x 5⁶

What is 5⁸?

300

Simplify: 2a³ x 4a²

What is 8a⁵?

400

Simplify: (8x³)(-3x⁴)

What is -24x⁷?

500

 Simplify: (3x²y)(4x³y²)

What is 12x⁵y³?

Division Rule

100

You do this to the exponents when dividing powers with the same base.

What is subtract?

200

Simplify: 4⁵/4³

What is 4²?

300

Simplify: a³/a⁸

What is a^-5 or 1/a⁵?

400

Simplify: 18a⁷/6a³

What is 3a⁴?

500

Simplify: 12x²/6x³

What is 2x^-1 or 2/x?

Power Rule

100

You do this to the exponents when finding the power to a power.

What is multiply?

200

Simplify: (z²)⁵

What is z¹⁰?

300

Simplify: (4³)²

What is 4⁶?

400

Simplify: (3x³)²

What is 9x⁶?

500

Simplify: (5xy²z³)²

What is 25x²y⁴z⁶?

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1?

200

-2⁰

What is -1?

300

To find a negative exponent of a number, you have to find this of the number first

What is a reciprocal?

400

Write using a positive exponent: (3/4)^-2

What is (4/3)²?

500

Write (2x+3y)^-2 with a positive exponent

What is 1/(2x+3y)²?