What is the value of $\frac{x^1\cdot x^2\cdot x^3\cdots x^{10}}{x^2\cdot x^4 \cdot x^6 \cdots x^{20}}$ if x = 2?
This will evaluate to
1
________________________ =
x * x^2 * x^3 * .........x^9*x^10
_________________________ =
x^ (1 + 2 + 3 +... +9 + 10)
____________________ =
x^[ 10 * 11 / 2 ]
________
x^55
So
__________
2^55
