Question

How do you simplify `(5^ { 3} ) ( 5^ { 7} )`?

Answer 1

We can use this rule of exponents to simplify: `x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`(5^color(red)(3))(5^color(blue)(7)) = 5^(color(red)(3) + color(blue)(7)) = 5^10`