Multiplying powers is a cornerstone of algebra: 2³ × 2⁴ = 2⁷ because you are multiplying seven 2s. The same rules work with negative and fractional exponents and with scientific notation (10⁵ × 10³ = 10⁸).
How to use the Multiplying Exponents Calculator
- Operation
- Base a
- Exponent m
- Base b
- Exponent n
Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.
How it works
Enter both powers. The calculator checks whether the bases or the exponents match and applies the right rule; otherwise it evaluates each power.
Formula
aᵐ × aⁿ = a^(m + n), aⁿ × bⁿ = (a·b)ⁿ
Worked example
Inputs — Operation: Multiply aᵐ × bⁿ; Base a: 2; Exponent m: 3; Base b: 2; Exponent n: 4.
Results — Simplified = 2⁷; Value = 128; Rule = Same base: add the exponents: 3 + 4 = 7; Each power = 2³ = 8
2⁴ = 16.
Key terms
- Product of powers
- aᵐ·aⁿ = aᵐ⁺ⁿ.
Frequently asked questions
What is x² × x³?
x⁵.
What is 2³ × 3³?
6³ = 216.
Can I add exponents with different bases?
No – 2³ × 3⁴ cannot be written as a single power with an integer base.
What about negative exponents?
Same rule: 5² × 5⁻³ = 5⁻¹ = 0.2.