If i have two base variables with exponents for example:
4x(3x)
After getting x^2-would i have just ONE variable base?
i.e. 4(3x^2)
or place the exponent on BOTH variable bases like this:
4x^2(3x^2)?
Thanks!
Your question is rather unclear.
If you square (4x)(3x),the result is 4^2 * 3^2 x^2 = 144 x^2.
If you square just the x, the result is 12 x^2.
I guess i can try to clear it up. Sorry.
So I'm adding the exponents of 1 for EACH variable/base x. That'd make it x^2.
Okay, so if i have to rewrite the equation with just one exponent, then would i put the x^2 after JUST ONE of the coefficents? Like this:
4x^2(3) or KEEP IT attacthed to BOTH coefficents like this: 4x^2(3^2)
I'm sorry if that still makes no sense.
oh-wow.totaly mind blank there-thank you for answering my question. After reading it a while i finally got it! Thanks again
When you have two base variables with exponents, such as 4x(3x), you need to follow the rules of exponentiation to simplify the expression.
In this case, you want to multiply the bases and add the exponents if the bases are the same. The base in this expression is x.
To simplify 4x(3x), you would first multiply the coefficients: 4 * 3 = 12. Then, you multiply the bases (x) and add the exponents (1 + 1 = 2).
So, the simplification is 12x^2, which means you have one variable base (x) raised to the power of 2. The correct expression would be 12x^2.
Therefore, the correct answer is not 4(3x^2) or 4x^2(3x^2), but rather 12x^2.