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.
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 > 1Decay: when a > 0 and b is between 0 and 1
The use of rational numbers as exponents, The root is found in the denominator and the integer exponent is found in the numerator.