Laws of Exponents
by Annie Arnold
Product of a Power
When multiplying powers with the same base, add the exponents.
Power of a Power
When multiplying powers with the same base, multiply the exponents.
Power of a Product
The exponent outside of the parentheses goes to both powers.
Quotient of a Power
When dividing powers of the same base, subtract the exponents.
Power of a Quotient
When dividing powers, the exponent goes to each base separately, then divided.
Zero Exponent
When a base is to the 0 exponent, the solution is 1.
Negative Exponent
The base is on the wrong side of the fraction line, so you need to flip the base to the other side.
Exponential growth & Decay
Growth: when a > 0 and b > 1
Decay: when a > 0 and b is between 0 and 1Fractional Exponents
The use of rational numbers as exponents, The root is found in the denominator and the integer exponent is found in the numerator.