Question

Please help (only answer if right)

Answer 1

A negative exponent means that the factor is on the wrong side of the fraction.

`(2)/(x^(-3)) = (2\cdot x^3)/(1)`

The
`x^(-3)` belongs in the top of the fraction, but when it moves across the fration bar, the sign on the exponent changes.

Applying that to your example,

`(z^4)/(z^(-7)) = (z^4\cdot z^7)/(1) \text{~~~~or~~~~} z^4 \cdot z^7`

You then need to simplify that last expression,
`z^4 \cdot z^7`. How many z's are being multiplied together in that expression?