How do you simplify #(14f^-3g^2h^-7)/(21k^3)#?

1 Answer
Mar 2, 2017

Answer:

#(2f^-3 g^2h^-7)/(3k^3) = (2g^2)/(3f^3h^7k^3)#

Explanation:

Technically the only thing needed to simplify this expression is to change #14/21# to #2/3#.

So #(2f^-3 g^2h^-7)/(3k^3)# is simplified.

However, usually mathematicians prefer to have all of the exponents positive. To make them positive, you flip them to the other side of the dividing line using the exponential rules:
#1/x^-m = x^m# and #x^-n = 1/x^n#

Which leaves: #(2g^2)/(3f^3h^7k^3)#