PONCE POWERS

Products of Powers

100

2³ x 2⁵

2⁸

200

What do you do to the exponents (of the same base) when you are multiplying them?

Add them

300

Simplify: 5⁴ x 5⁶

⁵¹⁰

400

Simplify: 5⁸ x 5^-5

5³

500

Find 10² x 10^-9. Write your answer in such a way that it has a positive exponent. 

1/10⁷

Powers of Powers

100

Calculate as a single power

(2²)²

2⁴

200

What do you do to the exponents (of the same base) when you have a power of a power?

Multiply them

300

Simplify: (2³)⁹

2²⁷

400

Simplify: (9^-4)³. Write your answer in such a way that it has a positive exponent. 

1/9¹²

500

Simplify: (13^-6)^-5

13³⁰

Quotients of Powers

100

10⁵ : 2⁵

5⁵

200

What do you do to the exponents (of the same base) when you are dividing them?

Subtract them

300

Simplify: 8⁹ ÷ 8⁶

8³

400

Simplify 6⁴ ÷ 6¹¹. Write your answer so that it has a positive exponent. 

1/6⁷

500

Simplify: 3⁵ ÷ 3^-3

3⁸

Negative Powers

100

Write as a positive power

2^-3

(1/2)³

200

9^-3

1/9³

300

1/22^-5

22⁵

400

Simplify 3^-4. Write your answer without an exponent. 

1/81

500

Simplify 1/2^-8

256

Zero Powers

100

What is any number raised to the 0 power?

1

200

4⁰

1

300

(58958258)⁰ + 3

4

400

-3 x (-82571249)⁰

-3

500

4 x (1/3428)⁰ + 3

7