How do you multiply #(4a b ^ { 6} c ) ( 4a b c ^ { 9} ) ( 5a b ^ { 7} c )#?

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Answer 1 · 2018-01-26T15:06:43

See a solution process below:

First, rewrite the expression as:

#(4 * 4 * 5)(a * a * a)(b^6 * b * b^7)(c * c^9 * c) =>#

#80(a * a * a)(b^6 * b * b^7)(c * c^9 * c)#

Next, use this rule for exponents to rewrite the expression as:

#a = a^color(red)(1)#

#80(a^1 * a^1 * a^1)(b^6 * b^1 * b^7)(c^1 * c^9 * c^1)#

Now, use this rule of exponents to complete the multiplication:

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

#80a^(1+1+1)b^(6+1+7)c^(1+9+1) => 80a^3b^14c^11#