Laws of Exponents

Exponents

100

Identify the base: 3²

3

200

Identify the exponent 1⁶

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 Rule

100

What do you do to the exponents when you multiply exponents with the same base.

Example: 5² x 5³

Add the exponents.

200

Simplify: 5² x 5⁶

5⁸

300

Simplify: x² times x³

x⁵

400

Simplify:  z^-3 x z⁵

z²

500

h^-4 x h^-7

h^-11

Quotient of Powers

100

What do you do to the exponents when dividing exponents with the same base.

Example: d⁵/d²

subtract

200

Simplify: 2⁷/2²

2⁵

300

Simplify: w⁸/w³

w⁵

400

k⁵/k⁷

k^-2

500

r^-3/r^-6

r^-9

Negative and Zero Exponents

100

Any number raised to the zero power equals ________

1

200

2⁰ 

1

300

When you have a negative exponent, change the expression to a ____________.

fraction

400

Write using a positive exponent 

w^-5

1/w⁵

500

Write x^-1 using positive exponents.

1/x¹