Rules of Exponent

Let's Review!!!

100

What are two things an exponent number need to have?

A base number

An exponent

200

Which words are missing from the following sentence:

For Product of Powers:

When _________________, if the ______________ are the _______, _____ the ___________.

multiplying

base numbers

same

add

exponents

300

Which words are missing from the following sentence:

For Quotient of Powers:

When ___________________, if the ______________ are the _______, ___________ the ___________.

dividing

base numbers

same

subtract

exponents

400

Which word is missing from the following sentence:

For Power of Powers:

To find a Power of a Power, __________ the exponents. 

multiply

500

Which words are missing from the following sentence:

For Zero Exponent:

If a ________________ has an ____________ of ________, then the answer equals ____________

base number

exponent

zero

1

1000

Which words are missing from the following sentence:

For Negative Exponent:

If the ____________ has a negative ______________, then rewrite the expression as a _______________ with 1 in the numerator and positive exponent in the denominator.

base number

exponent

fraction

Product of Powers

100

1¹ * 1²

1³

200

2³ x 2⁴ 

2⁷

300

11^5 * 11^10 * 11^15 

11³⁰

400

7¹² x 7¹⁴ x 7¹⁶ x 7¹⁸

7⁶⁰

500

15²⁰ x 15⁴⁰ x 15⁶⁰ x 15⁸⁰ x 15¹⁰⁰

15³⁰⁰

1000

Solve and find the Standard Form:

4³ x 4²

4⁵ = 1,024

Quotient of Powers

100

1^10/1^2

1⁸

200

2^3/2^1 and 3^4/3^2

2² and 3²

300

9^5/9^2 , 10^10/10^6 , and 11^9/11^1

9³ , 10⁴ , and 11⁸

400

3^19/3^17 , 3^10/3^5 , 6^21/6^12 , and 2^7/2^3

3² , 3⁵ , 6⁹ , and 2⁴

500

4^15/4^4 , 8^15/8^8 , 15^20/15^9 , 9^17/9^16, and 24^30/24^14

4¹¹ , 8⁷ , 15¹¹, 9¹ , and 24¹⁶

1000

Solve and find the Standard Form:

30^6/30^4

30² = 900

Power of Powers

100

(1³)⁴

1¹²

200

(3²)⁵ and (2⁴)³

3¹⁰ and 2¹²

300

(4¹)⁶ , (5⁵)⁵ , and (6²)³

4⁶ , 5²⁵ , and 6⁶

400

(7⁷)⁷ , (8⁸)⁹ , (9¹)² , and (10³)⁴

7⁴⁹ , 8⁷² , 9² , and 10¹²

500

(11⁵)⁶ , (12⁷)⁸ , (13⁹)¹⁰ , (14¹¹)¹² , and (15¹³)¹⁴

11³⁰ , 12⁵⁶ , 13⁹⁰ , 14¹³² , and 15¹⁸²

1000

Solve and find the Standard Form:

(10³)²

10⁶ = 1,000,000

Negative Exponents / Zero Exponents

100

5⁰

1

200

3^-2

1/3^2

300

10⁰ and 7⁰

1 and 1

400

5^-6 and 7^-8

1/5^6 and 1/7^8

500

10⁰ , 9^-3 , 25⁰ , and 27^-10

1 , 1/9^3 , 1 , and 1/27^10 

1000

Solve and find the Standard Form:

10^-3

1/10^3 = 1/1000