Which is the sixth term in the expanded form of this binomial?
14(x)^3
280(x)^2
280(x)^3/2
672x
448x
I don't see any binomial. HELP!
that is how it is set and written
To find the sixth term in the expanded form of a given binomial, we need to identify the power of the variable in each term and determine the term that has a power of 6.
Let's break down each binomial:
1. 14(x)^3
The power of x in this term is 3. Since 3 is less than 6, this is not the sixth term.
2. 280(x)^2
The power of x in this term is 2. Again, 2 is less than 6, so this is not the sixth term.
3. 280(x)^3/2
Here, the power of x is 3/2. Exponents can be tricky, so let's simplify this term:
(x^3/2) = √(x^3) = √(x*x*x) = x^(3/2) = √x * √x * x = x^(1/2) * x * x = x * x * x = x^3
So, we can rewrite the term as 280x^3. Since the power of x is 3, this is not the sixth term.
4. 672x
The term 672x has no exponents, which means the power of x is 1. Again, this is less than 6, so it is not the sixth term.
5. 448x
Similar to the previous term, 448x also has no exponents. Therefore, the power of x is 1, and this is not the sixth term.
None of the given terms have a power of x equal to 6. Therefore, there is no sixth term in the expanded form of the binomial provided.