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.