Question

Express x^-1 y^-2/z^-3 with positive exponents.

Answer 1

Negative exponents work like this:

`a^(-m) = (1)/(a^m)`

So, a number raised to a negative power simply means the multiplicative inverse of that number raised to the positive power.

So, in your case, you have

`(x^(-1)y^(-2))/(z^(-3)) = ((1)/(x)(1)/(y^2))/((1)/(z^3))`

We can rework this expression to get

`(z^3)/(xy^2)`

Answer 2

`\frac{x {}^( - 1)y {}^( - 2) }{z {}^( - 3) }`

if the upper number got power of negative it will go down and the down will go up

So that,

`\frac{z {}^(3) }{x {}^(1) {y}^(2) }`

power of 1 can no need to write