Key Concepts
- Exponential Notation
This is read a to the mth power.
- Product Property of Exponents
- If a is a real number and m,n are counting numbers, then
am⋅an=am+n - To multiply with like bases, add the exponents.
- If a is a real number and m,n are counting numbers, then
- Power Property for Exponents
- If a is a real number and m,n are counting numbers, then
(am)n=am⋅n
- If a is a real number and m,n are counting numbers, then
- Product to a Power Property for Exponents
- If a and b are real numbers and m is a whole number, then
(ab)m=ambm
- If a and b are real numbers and m is a whole number, then
- Quotient Property of Exponents
- If a is a real number, a≠0, and m,n are whole numbers, then aman=am−n.
- The Negative Rule of Exponents
- For any nonzero real number a and natural number n, the negative rule of exponents states that a−n=1an.
- Exponents of 0 or 1
- Any number or variable raised to a power of 1 is the number itself. n1=n
- Any non-zero number or variable raised to a power of 0 is equal to 1. n0=1
- The quantity 00 is undefined.
Candela Citations
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