Question

When I write my expression in rational exponent form, what is the fraction that goes with the base of 10?

Answer 1

Answer is the fraction 3/5

The rule to use here is

`\sqrt[n]{x^m} = x^(m/n)`

The n is the index of the root, which is the denominator of the fractional exponent. In this case, x = 10, m = 3, n = 5

So,

`\sqrt[5]{10^3} = 10^(3/5)`