Module 3 - Introduction to Circuit Protection, Control, and Measurement
Navy Electricity and Electronics Training Series (NEETS)
Chapter 1:  Pages AII-1 through AII-2

Appendix II

LAWS of EXPONENTS

The International Symbols Committee has adopted prefixes for denoting decimal multiples of units. The National Bureau of Standards has followed the recommendations of this committee, and has adopted the following list of prefixes:

To multiply like (with same base) exponential quantities, add the exponents. In the language of algebra the rule is a^m x aⁿ = a^m+n

To divide exponential quantities, subtract the exponents. In the language of algebra the rule is

AII-1

To raise an exponential quantity to a power, multiply the exponents. In the language of algebra

(x^m)ⁿ = x^mn.

Any number (except zero) raised to the zero power is one. In the language of algebra x⁰ = 1

Any base with a negative exponent is equal to 1 divided by the base with an equal positive exponent. In the language of algebra x^-a = 1/x^a

To raise a product to a power, raise each factor of the product to that power.

To find the nth root of an exponential quantity, divide the exponent by the index of the root. Thus, the nth root of a^m = a^m.

AII-2