Integer Calculator

This calculator takes two integer inputs, designated as a and b, and processes them through a suite of core mathematical functions. The underlying formulas include basic arithmetic operations such as addition (a + b), subtraction (a - b), multiplication (a * b), and integer division (a / b). Additionally, it computes exponential powers (a^b), radical roots (a^1/b), and logarithmic evaluations (log_b(a)). Each operation follows standard mathematical conventions to ensure precision.

Let us walk through a practical example using the inputs a = 16 and b = 2. First, addition yields 16 + 2 = 18. Subtraction gives 16 - 2 = 14, while multiplication results in 16 * 2 = 32. For division, 16 / 2 equals 8. Moving to advanced functions, the power calculation computes 16² to get 256. The radical root operation evaluates 16 to the power of 1/2 (the square root of 16), resulting in 4. Finally, the logarithmic function evaluates log₂(16), which determines the exponent required to base 2 to reach 16, yielding 4.

When performing division with integers, always be mindful of division by zero, as it is undefined and will result in an error. When dealing with exponents and roots, remember that negative inputs can lead to complex numbers depending on the radical index or exponent type. Double-check your input signs when subtracting or multiplying negative integers to avoid sign inversion errors.