Question

y^{-4} div y^{-2}

Explanation:

Step1: Apply exponent division rule

When dividing terms with the same base, subtract exponents: $y^{m} \div y^{n} = y^{m-n}$
So $y^{-4} \div y^{-2} = y^{-4 - (-2)}$

Step2: Simplify the exponent

Calculate the exponent value: $-4 - (-2) = -4 + 2 = -2$
Result: $y^{-2}$

Step3: Rewrite with positive exponent

Use the rule $y^{-k} = \frac{1}{y^k}$ to rewrite: $\frac{1}{y^2}$

Answer:

$\frac{1}{y^2}$ (or $y^{-2}$)