How to simplify exponents.
Simplifying rational exponents
The base b raised to the power of n/m is equal to:
bn/m = (
m√b)n= m√(bn)
Example:
The base 2 raised to the power of 3/2 is equal to 1 divided by the base 2 raised to the power of 3:
23/2 = 2√(23) = 2.828
Simplifying fractions with exponents
Fractions with exponents:
(a / b)n = an / bn
Example:
(4/3)3 = 43 / 33 = 64 / 27 = 2.37
Simplifying negative exponents
The base b raised to the power of minus n is equal to 1 divided by the base b raised to the power of n:
b-n = 1 / bn
Example:
The base 2 raised to the power of minus 3 is equal to 1 divided by the base 2 raised to the power of 3:
2-3 = 1/23 = 1/(2·2·2) = 1/8 = 0.125
Simplifying radicals with exponents
For radical with exponent:
(m√a)n = an/m
Example:
(√5)4 = 54/2 = 5
2 = 25