Rewrite 10^((1)/(3)) * 10^((5)/(6)) using a root

Answer 1

10^(1/3) * 10^(5/6) can be rewritten as 10^((1/3) + (5/6)).

Now, let's express the exponents as fractions with a common denominator:

1/3 = 2/6, and

5/6 = 5/6.

Therefore, the expression can be rewritten as 10^((2/6) + (5/6)).

Since the denominators are the same, we can combine the numerators.

So, 2/6 + 5/6 = 7/6.

Finally, the expression can be written as 10^(7/6), which is equivalent to the original expression.