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 -> root
numerator -> exponent

[It may not make sense right now, so see numbers below.]

(70/14)^(1/3) = (root(3)(70/14))^1

Simplify (70/14).

(root(3)(70/14))^1 = (root(3)(5))^1

Anything to the first power is itself.

(root(3)(5))^1 = root(3)(5)

Answer: root(3)(5) = 1.70997594668