Question

How do you simplify `( 5x^-7 ) / ( 10x^-10 )`?

Answer 1

Remember that `b^(-c) = 1/b^c`
and
`b^p/b^q = b^(p-q)`

So
`(5x^(-7))/(10x^(-10))`

`= 5/10 * (10^10)/(10^7)`

`= 0.5xx10^3`
or
`5.0xx10^2` (in normalized scientific notation)