Exponents

Vocabulary

100

The 5 in 5³

What is the base?

200

The 8 in 4⁸

What is the power?

What is the exponent?

300

A special way of saying "to the second power"

What is squared?

400

A special way of saying "to the third power"

What is cubed?

500

When an expression has a letter instead of a number, that letter is called this. 

(Example: x² + x)

What is a variable?

Expanded Form

100

2 x 2 x 2 x 2

2⁴

200

5 x 5 x 5 x 5 x 5 x 5 x 5

5⁷

300

4⁹

4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4

400

x⁵

X X X X X

500

x¹⁰y⁵

X X X X X X X X X X Y Y Y Y Y

Multiplication

100

3⁴ x 3⁵

3⁹

200

10⁷ x 10⁷

10¹⁴

300

x⁹x²

x¹¹

400

x² (x³x²)

x⁷

500

y^-5 (y²y³)

1

Division

100

2³/2¹

2²

200

4⁸/4³

4⁵

300

x¹⁰/x⁷

x³

400

(x¹⁵y¹⁰)/(x⁷y⁸)

x⁸y²

500

(x³y¹¹)/(x³y¹³)

1/y²

Powers

100

(2)⁴

2⁴

200

(4³)⁴

4¹²

300

(x⁵)¹⁰

x⁵⁰

400

(x²y⁵)³

x⁶y¹⁵

500

(x⁴y¹⁰)^-2

1/(x⁸y²⁰)