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

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Answer 1 · 2018-04-16T01:52:45

#3ab^3*4ab^3=12a^2b^6#

To do this use SNL

#S#aturday

#N#ight

#L#ive

In Maths it is

#S#igns

#N#umbers

#L#etters

calculate the signs first #+# and/or #-#
the signs are both positive so the answer is positive

#3ab^3*4ab^3=#

Next the numbers, #3*4# is #12#

#3ab^3*4ab^3=12#

Finally the letters, using the index law #x^n*x^m=x^(m+n)#

#a^1*a^1=a^(1+1)=a^2#

and

#b^3*b^3=b^(3+3)=a^6#

#3ab^3*4ab^3=12a^2b^6#