how do you solve 22^3/4

Question

solving fractional exponents

Answer 1

22^¾ can be solved using logarithms. If we use base 10 logs we start with log₁₀(22).

log(22^¾)=¾log₁₀(22)=1.006817 approx. Now we do the "antilog" of 1.006817, which is 10^1.006817=10.1582 approx. So 22^¾=10.1582.