Multiplying powers
Automatic calculation and application of power rules
to get a step-by-step solution
Power multiplication calculator
🧮 How multiplication of powers works
Our calculator helps you instantly solve examples with powers, showing not only the answer, but also the progress of the solution. This is useful for checking homework or engineering calculations.
- If the bases are the same (for example, 23 · 24), the indicators are added: 23+4 = 27.
- If the bases are different (for example, 32 · 42), each number is raised to a power separately and then multiplied.
Where is this useful?
Operations with powers are the basis of many calculations:
- Study: Checking algebra problems. If you just need to find the power of one number, use a separate calculator exponentiation.
- Finance: Calculating bank deposits often uses formulas with powers. Read more about this in the section about compound interest.
- Physics: Many formulas (for example, kinetic energy) require working with squares and cubes of numbers.
Examples that the calculator solves
1. Same reasons:
Input: 25 · 23
Solution: 2(5+3) = 28 = 256
2. Fractional indicators:
Input: 160.5 · 42
Solution: √16 · 16 = 4 · 16 = 64
Frequently asked questions (FAQ)
🔹 What to do with a negative degree?
The calculator processes them automatically according to the rule: a-n = 1/an. For example, 2-2 will become 0.25 (or 1/4).
🔹 How to multiply powers with different bases, but the same exponents?
The rule is: an · bn = (a · b)n. Our tool will automatically detect this case and show a shortened solution.
🔹 Are very large numbers supported?
Yes, but there are technical limitations of the browser. For very large values (eg 100100), the answer can be output in exponential format (eg 1e+200). To build graphs of such dependencies, it is better to use the function building tool.