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

1 Answer
Oct 19, 2015

Answer:

#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#