- two examples of expanding the exponent are:
and - a root of a number involves a fractional exponent for example the quantity
is the nth root of - when multiplying powers of the same base add exponents togethor:
- when dividing powers of the same base you subtract the exponents:
- any number except zero when raised to the power of zero equals one:
as long as - the power of power is:
for example - when raising two numbers to the same power their products and quotients obey simple rules:
and
- the equation to convert celsius to fahrenheit is:
- the equation of a unit circle is:
- the relationship between sine and cosine is famously shown with the Pythagorean identity:
- absolute value or modulus of a complex number
is - in Boyle's law the product of pressure (P) and volume (V) is a constant number (k):
which means that pressure is inversely proportional to the volume
