Exponent Rules

Product Rule

100

x^3 * x^6

x^9

200

x^5 * x^7

x^12

300

(4f^8)(2f^4)

8f^12

400

(n³)^-2・n³

1/(n^3)

500

(r^5)(r^-7)

1/r^2

600

(7s^5p^5)(3s^6p^-5)

21s¹¹

Power to a Power Rule

100

(x^4)^5

x^20

200

(x^2)^2

x^4

300

(x^2y^5)^2

x^4y^10

400

(y^-3)^-2

y^6

500

(8w^3y^7)^0

1

600

(k³)² ・ (2k⁴)²

4k¹⁴

Quotient Rule

100

x^7/x^3

x^4

200

(x^6)/(x^5)

x

300

(8x^10)/(4x^3)

2x^7

400

u^2/u^9

1/(u^7)

500

(m^10)/(m^-8)

m^18

600

(x^3y^4)/(x^-2y^2)

x^5y^2

Negative and Zero Exponent Rule

100

x^0

1

200

x^-9

1/(x^9)

300

(5y^3)/(x^-2)

5x²y³

400

3x^-8

3/(x^8)

500

(v^5)^-8

1/(v^40)

600

11a^2 * 3a^-6

33/a^4

Combining Bases and Vocabulary

100

Which number is the base? Which number is the exponent? 15⁴

Base: 15

Exponent: 4

200

3^2*5^2

15^2

300

x^4*5^4

5x^4

400

Define the Zero Exponent Rule

Any value (known or unknown) to the power of zero is 1

500

Define the Quotient Rule:

a process where you subtract the exponents when two numbers with the same base are being divided together

600

Define the Product Rule:

a process where you add the exponents when two numbers with the same base are being multiplied together

Mixed Vocabulary

100

A letter that represents an unknown value

Variable

200

When a shape moves the same distance and same direction in the coordinate plane

Translation

300

Steepness of a line

Slope

400

Graph of a straight line

Linear

500

When two shapes have the same side lengths and same angle measures

Congruent

600

Every input has exactly one output

Function