
Exponents with fractional bases
If the base of an exponential expression is a fraction, the exponent tells us how many times to write that fraction as a factor.


Since the exponent is 2, write the base, , as a factor 2 times. 
Evaluate


Since the exponent is 3, write the base, , as a factor 3 times.



Multiply the numerators
Multiply the denominators




We read as "onefourth raised to the third power", or as "one fourth, cubed"
Evaluate


Since the exponent is 2, write the base, , as a factor 2 times.



Multiply the numerators
Multiply the denominators




We read as "negative twothirds raised to the second power", or as "negative twothirds, squared"
Evaluate
Recall that if the  symbol is not within the parentheses, it is not part of the base.


Since the exponent is 2, write the base, , as a factor 2 times.



Multiply the numerators
Multiply the denominators




We read as "the opposite of twothirds squared"
