identify the equivalent expression for each of the expressions below. m^1/3 / m^1/5
To find an equivalent expression for m^(1/3) / m^(1/5), we can use the properties of exponents.
When dividing terms with the same base, you subtract the exponents. So, m^(1/3) / m^(1/5) can be rewritten as m^(1/3 - 1/5).
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 15, so we can rewrite the expression as m^((5/15) - (3/15)).
Simplifying the exponent, we have m^(2/15).
Therefore, the equivalent expression for m^(1/3) / m^(1/5) is m^(2/15).