Question

solve for $m$.
$\frac{e^{2m}}{e^{6}} = e^{10}$

Explanation:

Step1: Apply exponent subtraction rule

$\frac{e^{2m}}{e^6} = e^{2m - 6}$

Step2: Set exponents equal (same base)

$2m - 6 = 10$

Step3: Isolate term with $m$

$2m = 10 + 6$
$2m = 16$

Step4: Solve for $m$

$m = \frac{16}{2}$

Answer:

$m = 8$