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Laws of Indices Calculator

𝑥 Algebra. Use the Laws of indices (multiplying) formula to find result, base a, m, n: pick the value you want, type the others, and the answer updates as you go.

am×an=am+na^m \times a^n = a^{m+n}
Result128

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Resultno unit
Base ano unit
mno unit
nno unit

Worked example

Find the result when Base a = 2, m = 3, n = 4.

Using a^m × aⁿ = a^(m+n): Result = 128.

Frequently asked questions

What is the formula for Laws of indices (multiplying)?

a^m × aⁿ = a^(m+n).

What do the letters stand for, and what units are used?

Result, Base a, m, n.

How do you calculate result?

Put the values into a^m × aⁿ = a^(m+n). For example, with Base a = 2, m = 3, n = 4, result = 128.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (result, base a, m, n) and fill in the others: it rearranges the formula for you.

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