Formulas & tables/Mathematics/Powers and roots/Power of a product
Power of a product

Power of a product

(ab)n=anbn(ab)^n=a^n b^n

Result unit: — (liczba)

What it describes

A power of a product equals the product of the powers of its factors.

Symbols

a,ba, b
bases
nn
exponent

Where it comes from

A power of a product is distributed to each factor separately.

When to use it

Breaking apart a power of a product; simplifying expressions.

Example

Evaluate (2⋅3)2(2\cdot3)^2.
Substitution22⋅322^2\cdot3^2.
Result4⋅9=364\cdot9=36.

Related formulas

Power of a power Root of a product

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