Question

How do you rewrite `((m^-3n^5)/(mn^-2))^2` using a positive exponent?

Answer 1

`n^14/m^8` is the simplified version of the expression with all positive exponents.

Explanation:

Begin by moving all of the exponents to the numerator.

`((m^-3n^5)/(mn^-2))^2`

the expression becomes,
`(m^-3m^-1n^5n^2)^2`
the exponents change sign when they are brought from the
denominator to the numerator

Combine the exponents for the similar variables
`(m^(-3-1)n^(5+2))^2`

`(m^-4n^7)^2`
Now distribute the exponent outside the parenthesis to the
exponents inside by multiplication.
`m^-8n^14`

Now move the variable with the negative exponent to the denominator to make the exponent positive.
`n^14/m^8`