Exponential Properties

From Department of Mathematics at UTSA
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Introduction

Exponential properties can be used to manipulate equations involving exponential expressions and/or functions. Here are some important exponential properties:

  • Negative exponent property: and
  • Product of like bases:
  • Quotient of like bases:
  • Multiple powers:
  • Product to a power:
  • Quotient to a power:

Special cases involving 0:

  • For any nonzero number , .
  • For any positive number , .
  • does not exist if m is negative (since ).
  • is indeterminate or undefined depending on the context).

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