Question

How do you simplify `\frac { 8^ { 80} } { 8^ { 40} }`?

Answer 1

Use this rule of exponents to simplify this expression: `x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))`

`8^color(red)(80)/8^color(blue)(40) = 8^(color(red)(80)-color(blue)(40)) = 8^40`