Products of exponential expressions with the same base can be simplified by adding exponents. . = + Quotients of exponential expressions with the same base can be simplified by subtracting …

The natural logarithm ln x is the same as the logarithm base e, where e = 2.71828 . . . is a certain irrational constant. There will be an explanation later for why this number e is so important. …

Note how radicals (roots) can be turned into exponents, this means that exponent rules can be applied to radicals as well!

PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents. 2. QUOTIENT RULE: . To divide when two bases are the same, write the base and …

We will begin with a very simple definition. If b is any real number and n is a positive integer then bn means b multiplied by itself n times. The rules for the behaviour of exponents follow …

When an exponent is a fraction, use the denominator of the exponent to tell you what root to take of the base. Then raise that to the power of the numerator.

Basic Exponents Writing a number in exponential form means to use a “shorthand” method to tell how many times a factor is being multiplied by itself. For example, 24 means that the base, 2, …