Rules of Exponents and Order of Operations

This set of flashcards covers the rules of exponents and the order of operations in mathematics.

Order of Operations

The sequence in which operations should be performed: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Exponent Rule

For real numbers a and b, and integers m and n, a^m · a^n = a^(m+n).

Zero Exponent Rule

If a ≠ 0, then a^0 = 1.

Negative Exponent Rule

If a ≠ 0, then a^(-n) = 1/(a^n).

Product of Powers Rule

If a ≠ 0 and b ≠ 0, then a^(-m) * b^(-n) = 1/(a^m * b^n).

Power of a Product Rule

If a ≠ 0 and b ≠ 0, then (ab)^n = a^n * b^n.

Completing Order of Operations: P

P stands for Parentheses.

Completing Order of Operations: E

E stands for Exponents.

Completing Order of Operations: M

M stands for Multiplication.

Completing Order of Operations: D

D stands for Division.

Completing Order of Operations: A

A stands for Addition.

Completing Order of Operations: S

S stands for Subtraction.