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9 results for “exponents”

Formulae (9)

P \to E \to (M \div D) \to (A \div S)

Parentheses, Exponents, Multiply/Divide, Add/Subtract.

a^m \cdot a^n = a^{m+n}

Multiplying powers with the same base adds the exponents.

(a^m)^n = a^{mn}

Raising a power to a power multiplies the exponents.

\frac{a^m}{a^n} = a^{m-n}

Dividing powers with the same base subtracts exponents.

a^0 = 1

Any nonzero number to the power zero equals one.

a^{-n} = \frac{1}{a^n}

A negative exponent means reciprocal.

a^{m/n} = \sqrt[n]{a^m}

A fractional exponent is a root.

\frac{a^m}{a^n} = a^{m-n}

Divide powers with the same base by subtracting exponents.

d(n) = \prod (a_i + 1)

Count of divisors from prime factorization exponents.