4a^3n^6+a(a^3n)^6+4(an^2)^3
Please help me simplify!!!!!!
I will check your work. Post it.
4a^3n^6+4a^18n^6+4a^3n^6
then I cancel out both 4a^3n^6 and then my final answer is 4a^18n^6
on the center term, where did the 4 come from? was that original a supposed to be a 4? That center term makes little sense to me on the 4.
in the problem on the outside of the parenthesis where the a is should be a 4
To simplify the given expression, we can apply the rules of exponents and perform the necessary operations.
First, let's break down each term of the expression and simplify them individually:
Term 1: 4a^3n^6
There is no common factor to simplify further, so we leave this term as it is.
Term 2: a(a^3n)^6
Inside the parentheses, we can simplify (a^3n)^6 by raising both the base (a^3n) and the exponent 6. Using the rule (a^b)^c = a^(b*c), we get a^(3*6) = a^18. So now, the term becomes a*a^18 = a^(1+18) = a^19.
Term 3: 4(an^2)^3
Inside the parentheses, we can simplify (an^2)^3 by raising both the base (an^2) and the exponent 3. Using the rule (ab)^c = a^cb^c, we get (a^3)(n^6) = a^3n^6. So now, the term becomes 4(a^3n^6).
Now that we have simplified each term, we can combine them:
Final simplified expression: 4a^3n^6 + a^19 + 4(a^3n^6)
To further simplify, since the first and third terms are the same, we can combine them by adding their coefficients: 4a^3n^6 + 4(a^3n^6) = 8a^3n^6.
Therefore, the final simplified expression is 8a^3n^6 + a^19.