Mathematical formulas

Algebra

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Algebra
Powers, exponents, and radicals
Quotient of powers

2. Powers, exponents, and radicals

Quotient of powers

Level: fundamental

In 2. Powers, exponents, and radicals

Formula

\frac{a^m}{a^n}=a^{m-n}\;(a\ne0)

Tags

algebra
algebra formula
powers
powers and radicals

Detail

When dividing powers with the same base, the exponents are subtracted.

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Product of powers
$a^ma^n=a^{m+n}$
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Zero and negative exponents
$a^0=1;\quad a^{-n}=\frac1{a^n}\;(a\ne0)$
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