Question

Can someone please help me with this 7g^-2/g^4

Answer 1

When you have a negative exponent, you move the variable with the negative exponent to the other side of the fraction to make the exponent positive.

For example:

`(1)/(x^(-3)) =(x^3)/(1)` or x³

`x^(-2)` or
`(x^(-2))/(1) =(1)/(x^2)`

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (The variables have to be the same in order to combine them)

For example:

`(y^3)(x^2)=y^3x^2` (The variables(x and y) are different, so you can't combine them)

`(x^3)(x^2)=x^((3+2))=x^5`

`(1)/((y^(-4))(y^2)) =(1)/(y^((-4+2))) =(1)/(y^(-2)) =(y^2)/(1)` or y²

`(7g^(-2))/(g^4)` First make all the exponents positive

`(7)/(g^4(g^2))`

`(7)/(g^((4+2)))`

`(7)/(g^6)` (This is as far as you can simplify)