How do you simplify #70^(1/3)/14^(1/3)#?
1 Answer
Jun 16, 2017
#root(3)(5) = 1.70997594668#
Explanation:
If both the denominator and numerator are raised to the same exponent, it can be rewritten outside of the fraction because it will get distributed anyways.
[It may not make sense right now, so see numbers below.]
#70^(1/3)/14^(1/3)# = #(70/14)^(1/3)#
A fractional exponent can be rewritten as a root and exponent.
denominator
numerator
[It may not make sense right now, so see numbers below.]
#(70/14)^(1/3)# = #(root(3)(70/14))^1#
Simplify
#(root(3)(70/14))^1 = (root(3)(5))^1#
Anything to the first power is itself.
