Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3

200

Identify the exponent 1⁶

What is 6.

300

Write using exponents: (3 x 3 x 3)

What is 3³

400

Write using exponents: h x h x h x h x h

What is h⁵

500

Write in expanded form: 9⁶

What is 9 x 9 x 9 x 9 x 9 x 9

Product of Powers

100

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

What is add.

200

Simplify: 5² x 5⁶

What is 5⁸

300

Simplify: 2x² times 4x³

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

True or false: (3⁴)(4²) is equal to 12⁶

False. The bases are different so we can't use the exponent laws to simplify the expression.

Quotient of Powers

100

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

What is subtract

200

Simplify: 2⁵/2²

What is 2³

300

Simplify: w³/w⁸

What is 1/w⁵

400

(18a⁷)/(6a³)

What is 3a⁴

500

Simplify: (12x²) / (6x³)

What is 2/x

Power of Powers

100

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

What is multiply

200

Simplify: (z¹¹)⁵

What is z⁵⁵

300

Simplify: (4³)²

What is 4⁶

400

Simplify: (2y)⁴

What is 16y⁴

500

Simplify: (x^2y)³

What is x^6y

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2⁰

What is 1

300

An expression has a negative exponent. How do you rewrite it using a positive exponent?

Make it a fraction

or, do the reciprocal

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write x^-1 using positive exponents.

What is 1/x¹

Or just 1/x