How do you multiply #-12a ^ { 3} \cdot 53a ^ { 4} b ^ { 3} #?

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Answer 1 · 2017-06-05T13:24:22

See a solution process below:

First, rewrite this expression as:

#(-12 * 53)(a^3 * a^4)b^3 =>#

#-636(a^3 * a^4)b^3#

Now, use this rule of exponents to multiply the #a# terms:

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

#-636(a^color(red)(3) * a^color(blue)(4))b^3 =>#

#-636a^(color(red)(3)+color(blue)(4))b^3 =>#

#-636a^7b^3 =>#