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

1 Answer
Apr 16, 2018

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

Explanation:

To do this use SNL

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In Maths it is

Signs

Numbers

Letters

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