### Instruction: What is the value of \[\frac{x^1\cdot x^2\cdot x^3\cdots x^{15}}{x^2\cdot x^4 \cdot x^6 \cdots x^{20}}\]if $x=2$? Please respond by writing a program in Python.### Response: import sympy as sp

# define the variable
x = sp.symbols('x')

# define the numerator and denominator
numerator = sp.Mul(*[x**i for i in range(1,16)])
denominator = sp.Mul(*[x**(2*i) for i in range(1,11)])

# define the expression
expr = numerator/denominator

# substitute x=2
result = expr.subs(x, 2)

# print the result
print(result)