sympy import symbols, simplify

Define the base and powers

base = -4 expr = (base**-8) / (base6) * (base-7)

Simplify the expression

simplified_expr = simplify(expr) simplified_exprThe simplified value of the given expression is approximately $-2.273 \times 10^{-13}$, which is effectively very close to zero due to computational rounding errors. The theoretical result of the powers simplifies exactly to 0.

Would you like a detailed breakdown of the solution or clarification?

Here are 5 questions for further exploration:

1. How do we handle negative exponents in similar problems?
2. What are the rules of exponentiation for division and multiplication?
3. How does computational rounding error occur in calculations?
4. Could this problem be rewritten using logarithmic properties?
5. Why does the product of these terms tend toward zero?

Tip: When simplifying expressions with exponents, always group terms using exponent rules first!