Exponent Rules

Product Rule

100

Write the expression as a single exponent expression.

(4⁶)(4⁸)

What is:

4¹⁴

200

Write the expression as a single exponent expression.

6⁵ * 6¹²

What is:

6¹⁷

300

Write the expression as a single exponent expression.

(336²)(336²⁸)

What is:

336³⁰

400

Write the expression as a single exponent expression.

25¹⁷ * 25³⁶

What is:

25⁵³

500

Write the expression as a single exponent expression.

(9^-4)(9¹⁶)

What is:

9¹²

Quotient Rule

100

Write the expression as a single exponent expression.

4⁶/4⁵

What is:

4¹ or 4

200

Write the expression as a single exponent expression.

7⁹ divided by 7⁷

What is:

7²

300

Write the expression as a single exponent expression.

16¹⁸/16⁵

What is:

16¹³

400

Write the expression as a single exponent expression.

56⁴ divided by 56⁴

What is:

56⁰ or 1

500

Write the expression as a single exponent expression.

12³/12⁵

What is:

12^-2 or 1/12²

Zero Exponent Rule

100

Simplify

15⁰

What is:

1

200

Simplify

364,805⁰

What is:

Zero Property of Exponents; 1

300

Simplify:

9⁷/9⁷

What is:

 1

400

Simplify

(7-3)⁰ + 4

What is:

4

500

Simplify:

9+79272⁰ (4)

What is:

13

Negative Rule

100

Simplify

3^-2

What is:

1/3²

200

Simplify:

5^-9

What is

1/5⁹

300

Simplify:

1/9^-7

What is:

9⁷

400

Write in standard form:

6^-3

What is:

1/216

500

Write in standard form:

1/10^-5

What is

100,000

Definitions

100

List the 4 exponent rules we know so far

What is product, quotient, zero, and negative rule of exponents.

200

What is an exponent and give an example?

What is: a quantity representing the power to which a given number or expression is to be raised

300

What is a base and give an example?

What is: a number that is raised to a certain power

400

What is expanded form and give an example?

Writing out the expression using multiplication without an exponent

500

What is standard form and give an example?

What is: the answer to an exponent problem (regular numbers)