

Navy Electricity and Electronics Training Series (NEETS) Module
1—Introduction to Matter, Energy, and Direct Current Chapter 3:
Pages AII1 through AII3 
Module 1—Introduction to Matter, Energy, and Direct Current Pages
i  ix, 11 to 110,
111 to 120, 121 to 130,
141 to 150, 151 to 160,
161 to 165, 21 to 210,
211 to 220, 221 to 229,
31 to 310, 311 to 320,
321 to 330, 331 to 340,
341 to 350, 351 to 360,
361 to 370, 371 to 380,
381 to 390, 391 to 3100,
3101 to 110, 3111 to 3120,
3121 to 3126, Appendix I,
II, III,
IV, V,
Index
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:
Numbers 
Powers of ten 
Prefixes 
Symbols 
1,000,000,000,000 
10^{12} 
tera 
T 
1,000,000,000 
10^{9} 
giga 
G 
1,000,000 
10^{6} 
mega 
M 
1,000 
10^{3} 
kilo 
k 
100 
10^{2} 
hecto 
h 
10 
10 
deka 
da 
.1 
10^{1} 
deci 
d 
.01 
10^{2} 
centi 
c 
.001 
10^{3} 
milli 
m 
.000001 
10^{6} 
micro 
u 
.000000001 
10^{9} 
nano 
n 
.000000000001 
10^{12} 
Pico 
p 
.000000000000001 
10^{15} 
femto 
F 
.000000000000000001 
10^{18} 
atto 
a 
To multiply like (with same base) exponential quantities, add the exponents. In the language of
algebra the rule is a^{m} x a^{n} = a^{m+n}
AII1
To divide exponential quantities, subtract the exponents. In the language of algebra the rule is
*Generally used with electrical quantities.
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 xO = 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.
AII2
To find the nth root of an exponential quantity, divide the exponent by the index of the root. Thus,
the nth root of am = a^{m/n}.
AII3
Introduction to Matter, Energy, and Direct Current, Introduction
to Alternating Current and Transformers, Introduction to Circuit Protection,
Control, and Measurement, Introduction to Electrical Conductors, Wiring Techniques,
and Schematic Reading, Introduction to Generators and Motors,
Introduction to Electronic Emission, Tubes, and Power Supplies,
Introduction to SolidState Devices and Power Supplies,
Introduction to Amplifiers, Introduction to
WaveGeneration and WaveShaping Circuits, Introduction to Wave Propagation, Transmission
Lines, and Antennas, Microwave Principles,
Modulation Principles, Introduction to Number Systems and Logic Circuits, Introduction
to Microelectronics, Principles of Synchros, Servos, and Gyros,
Introduction to Test Equipment, RadioFrequency
Communications Principles, Radar Principles, The Technician's Handbook,
Master Glossary, Test Methods and Practices, Introduction to Digital Computers,
Magnetic Recording, Introduction to Fiber Optics



