My “Laws of Exponents” Cheat Sheet - Weebly

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My "Laws of Exponents" Cheat Sheet My "Laws of Exponents" Cheat Sheet

Multiplying Powers with the Same Base

General Rule: xa xb = xa+b

Example:

x5 x6 = x11

Multiplying Powers with the Same Base

General Rule: xa xb = xa+b

Example:

x5 x6 = x11

Dividing Powers with the Same Base

General Rule:

xa xb

= xa ? b

Example:

x7 x4

= x3

Dividing Powers with the Same Base

General Rule:

xa xb

= xa ? b

Example:

x7 x4

= x3

Finding a Power of a Power

General Rule: (xa)b = xa b

Example:

(x3)6 = x18

Finding a Power of a Power

General Rule: (xa)b = xa b

Example:

(x3)6 = x18

Negative Exponents

General Rule:

x-a =

1 xa

Example:

x-7 =

1 x7

Negative Exponents

General Rule:

x-a =

1 xa

Example:

x-7 =

1 x7

Zero as an Exponent

General Rule: x0 = 1

Example:

50 = 1

Zero as an Exponent

General Rule: x0 = 1

Example:

50 = 1

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