Quotient of powers

Quotient of powers

aman=am−n\dfrac{a^m}{a^n}=a^{m-n}

Result unit: — (liczba)

What it describes

When dividing powers with the same base, subtract the exponents.

Symbols

aa
base (a>0a>0)
m,nm, n
exponents

Where it comes from

When dividing powers with the same base, you subtract the exponents. When the result is negative, you get a fraction.

When to use it

Simplifying quotients of powers.

Example

Evaluate 2522\dfrac{2^5}{2^2}.
Substitution5−2=35-2=3.
Result23=82^3=8.

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