Question

1. \\(\frac{9n^{-6}}{3n^{-8}}\\)

Explanation:

Step1: Split coefficients and variables

$\frac{9}{3} \times \frac{n^{-6}}{n^{-8}}$

Step2: Simplify coefficient fraction

$\frac{9}{3} = 3$

Step3: Apply exponent quotient rule

$\frac{n^{-6}}{n^{-8}} = n^{-6 - (-8)} = n^{2}$

Step4: Multiply simplified terms

$3 \times n^{2}$

Answer:

$3n^2$