Question

1. simplify the expression. (\frac{11e^{9}}{22e^{10}}=square)

Explanation:

Step1: Split coefficients and variables

$\frac{11e^9}{22e^{10}} = \frac{11}{22} \times \frac{e^9}{e^{10}}$

Step2: Simplify coefficient fraction

$\frac{11}{22} = \frac{1}{2}$

Step3: Simplify variable terms (exponent rule)

$\frac{e^9}{e^{10}} = e^{9-10} = e^{-1} = \frac{1}{e}$

Step4: Multiply simplified parts

$\frac{1}{2} \times \frac{1}{e} = \frac{1}{2e}$

Answer:

$\frac{1}{2e}$