1. What is an Exponential Expression?

An exponential expression is a mathematical expression that involves exponents or powers. The general form is a^b, where 'a' is the base and 'b' is the exponent. This calculator can compute products of multiple exponential terms.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( a, c, \ldots \) — Bases (real numbers)
• \( b, d, \ldots \) — Exponents (real numbers)

3. Mathematical Explanation

Exponentiation Basics: a^b means multiplying 'a' by itself 'b' times. For non-integer exponents, it uses logarithmic transformation.

Properties: The calculator uses these exponent rules:

• a⁰ = 1 for any a ≠ 0
• a¹ = a
• a^-b = 1/(a^b)

4. Using the Calculator

Tips: Enter at least one base-exponent pair. You can add a second pair for more complex calculations. All fields accept decimal numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter 0 as a base?
A: 0ⁿ is 0 for n > 0, undefined for n = 0, and infinite for n < 0. The calculator will handle these cases appropriately.

Q2: Can I calculate fractional exponents?
A: Yes, the calculator handles all real number exponents, including fractions and decimals.

Q3: What about negative bases?
A: Negative bases with fractional exponents may produce complex numbers, which this calculator doesn't handle.

Q4: How precise are the calculations?
A: Results are calculated with floating-point precision and rounded to 6 decimal places.

Q5: Can I chain more than two exponential terms?
A: Currently the calculator supports up to two terms. For more terms, you can chain calculations.