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Product Rule

100

What are the steps to the Product Rule?

Keep your Base

Add your Exponents

200

x⁵*x⁶

x¹¹

300

10⁶*10^-3

10³

^or 

¹⁰⁰⁰

400

3x⁴*4x²

12x⁶

500

x⁷*x^_ = x¹⁰

3

Quotient Rule

100

What are the steps to the Quotient Rule?

Keep the same base

Subtract the Exponents

200

x³/x

x²

300

6⁹/6³

6⁶

400

3^a*3^b / 3⁷ = 1/3²​​​​

a=3

b=2

500

4⁵*4^_  / 4² = 4⁶

8

Negative Exponent

100

What do we do with a negative exponent?

Put a 1 in the numerator.

Move the base and exponent to the denominator. 

Make your exponent Positive.

200

3^-2

1/9

300

(-5)²

25

400

1/9 = 3^_

-2

500

1/3⁵

3^-5

Zero Exponent

100

What is anything raised to zero equal to?

1

200

5634⁰

1

300

52x⁰

52

400

7^_ =1

0

500

34x⁰ + 4

38