How do you simplify the expression #(4a^2 * 5a)/(2a)#?

1 Answer
Acquaintance
Jul 19, 2016

#10a^2#

Explanation:

First let's simplify the numerator. Multiply the coefficients and the variables. Remember that #a^b * a^c = a^(b+c)#.

#(4a^2*5a)/(2a)#

#((4a^2)(5a))/(2a)#

#(20a^3)/(2a)#

Now we can simplify by dividing out factors from the top and bottom. Also note that #a^b/a^c = a^(b-c)#.

#(10cancel(20)a^3)/(1cancel(2)a)#

#(10a^3)/a#

#10*a^(3-1)#

#10*a^2#

#10a^2#

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