Exponents

Vocabulary

100

A number that indicates how many times a number or expression is to be multiplied by itself.

exponent

200

A number, a variable, or a product of a number and one or more variables. Examples: 3, y, 2x, 5xy²

monomial

300

Numbers written without exponents.

Standard Form

400

The product of a number and itself.

square of a number 

500

The product in which a number is a factor three times.

cube of a number 

Multiplication

100

 x(x² )(x⁴ )

x⁷

200

(-7x² )(x⁴ )

-7x⁶

300

(x² y)(4xy³ )

4x³y⁴

400

(2a² )(8a)

16a³

500

(10x³ yz² )(-2xy⁵ z)

-20x⁴y⁶z³

Division

100

6⁵/6⁴

6

200

9d⁷ / 3d⁶

3d

300

12n⁵ / 36n

n⁴ / 3

400

f^-5g⁴ / h^-2 

g⁴h² / f⁵

500

15x⁶y^-9 /5xy^-11

3x⁵y²

Potpourri

100

Window

What is 2+2

200

(-4x³ )(-5x⁷ )

20x¹⁰

300

7⁰

1

400

(-2n⁶ y⁵ )(-6n³ y² )(ny)³ 

12n¹²y¹⁰

500

48x⁶y⁷z⁵/ -6xy⁵5 z⁶

-8x⁵y² / z

Power to a Power

100

(n⁷ ) ⁴

n²⁸

200

(4a²)² (b³)

16a⁴b³

300

(4x)² (b³ )

16x²b³

400

(-3j² k³)² (2j² k)³ 

72j¹⁰k⁹

500

-3(2x)⁴ (4x⁵ y) ² 

-768x¹⁴y²