How do you multiply and simplify #\frac { - 18m ^ { 0} \cdot m ^ { 2} n ^ { 4} } { - 6m ^ { 3} n }#?

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Answer 1 · 2016-12-14T14:05:56

#3m^-1n^3# or #(3n^3)/m#

First, we can multiply the numerator. One rule for exponents is:

#color(red)(x^0 = 1)# Using this gives:

#((-18 * 1) * m^2n^4)/(-6m^3n)#

#(-18 * m^2n^4)/(-6m^3n)#

#(-18m^2n^4)/(-6m^3n)#

We can now use another rule of exponents to divide:

#color(red)(x^a/x^b = x^(a - b))#

#((-18)/-6) m^(2 - 3)n^(4 - 1)#

#3m^-1n^3#

#(3n^3)/m^1#

#(3n^3)/m#