Question

How do you simplify `-(10xy^(-2))/(3x^(-4)y^3)`?

Answer 1

`=-(10x^5)/(3y^5)`

Explanation:

`rarr` Determine the sign
`rarr` simplify the numbers
`rarr` work with the variables and the indices

Recall: `x^-m = 1/x^m`

`-(10xy^(-2))/(3x^(-4)y^3) " "larr` sign and numbers are in the simplest form

`=-(10x xx x ^4)/(3y^3 xx y^2)" "larr` all positive indices

`=-(10x^5)/(3y^5)`

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