How do you evaluate #(- 4m ^ { 4}t) ( 15t ^ { 5} )#?

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Answer 1 · 2017-12-08T04:33:58

See a solution process below:

First, rewrite the expression as:

#(-4 * 15)m^4(t * t^5) =>#

#-60m^4(t * t^5)#

Now, use these rules of exponents to complete the evaluation:

#a = a^color(red)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#-60m^4(t^color(red)(1) * t^color(blue)(5)) =>#

#-60m^4t^(color(red)(1)+color(blue)(5)) =>#

#-60m^4t^6#