2(a*2a2)=?
If it is 2*1(2*(2a*2) then since the bases are the same we can add the exponets
1+2a*2
which does not simplify anymore.
Note... this is only correct if it was actually 2a*2
Maybe you meant
2(a*2a^2) = 2(2a^3) = 4a^3
To simplify the expression 2(a*2a^2), we follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
In this case, we don't have any parentheses or exponents, so we move on to the multiplication step.
Starting from the left, we have:
2 * (a * 2 * a^2)
Now, let's simplify the multiplication:
2 * (2a * a^2)
Now, we can multiply the coefficients (numbers) together, which gives us:
4a * a^2
To simplify the variables with exponents (a^2), we need to remember the rule of multiplying like bases. When multiplying variables with exponents of the same base, we add the exponents:
4a * a * a
Simplifying further:
4a^1 * a^1 * a^1
Since all the variables have the same base (a), we can rewrite this as:
4 * a^(1+1+1)
Adding the exponents:
4 * a^3
Therefore, the simplified expression is 4a^3.