Question

use the properties of exponents to simplify the expression. write with positive exponents. assume that all variables represent positive real numbers.
$\frac{y^{\frac{1}{8}}}{y^{\frac{1}{16}}}$
$\frac{y^{\frac{1}{8}}}{y^{\frac{1}{16}}}=\square$
(simplify your answer. type exponential notation with positive exponents.)

Explanation:

Step1: Rewrite as exponent multiplication

$\frac{y^{\frac{1}{8}}}{y^{\frac{1}{16}}} = y^{\frac{1}{8} - \frac{1}{16}}$

Step2: Subtract the exponents

$\frac{1}{8} - \frac{1}{16} = \frac{2}{16} - \frac{1}{16} = \frac{1}{16}$

Answer:

$y^{\frac{1}{16}}$