So far, we have only seen integer exponents, but fractional exponents exist too. Using your knowledge of exponential laws, determine the value of 6431.
Solution:
We want to find 641/3. Recall the law of exponents
(an)m=anm
and set
x=641/3.
Then
x3=(641/3)3=64(1/3)⋅3=641=64
so x is a number whose cube is 64. Since 43=64, we conclude