Question

simplify. express your answer using positive exponents. \\(\frac{y}{y^3}\\)

Explanation:

Step1: Apply exponent division rule

Recall $\frac{x^m}{x^n}=x^{m-n}$. Here, $y=y^1$, so:
$\frac{y^1}{y^3}=y^{1-3}$

Step2: Calculate exponent difference

Compute the exponent value:
$y^{1-3}=y^{-2}$

Step3: Convert to positive exponent

Use $x^{-k}=\frac{1}{x^k}$:
$y^{-2}=\frac{1}{y^2}$

Answer:

$\frac{1}{y^2}$