Solve for: 2e-8>5e-2

Expression: $2e-8>5e-2$

Add $8$ to both sides

$2e-8+8>5e-2+8$

Simplify

$2e>5e+6$

Subtract $5e$ from both sides

$2e-5e>5e+6-5e$

Simplify

$-3e>6$

Multiply both sides by -1 (reverse the inequality)

$(-3e)(-1)<6(-1)$

Simplify

$3e<-6$

Divide both sides by $3$

$\frac{3e}{3}<\frac{-6}{3}$

Simplify

$e<-2$