All High School Math Resources
Example Question #2 : Simplifying Exponents
Solve for .
First, set up the equation: . Simplifying this result gives .
Example Question #3 : Simplifying Exponents
What is the largest positive integer, , such that is a factor of ?
. Thus, is equal to 16.
Example Question #4 : Simplifying Exponents
Order the following from least to greatest:
In order to solve this problem, each of the answer choices needs to be simplified.
Instead of simplifying completely, make all terms into a form such that they have 100 as the exponent. Then they can be easily compared.
, , , and .
Thus, ordering from least to greatest: .
Example Question #4 : Distributing Exponents
Simplify the expression:
Cannot be simplified
Begin by distributing the exponent through the parentheses. The power rule dictates that an exponent raised to another exponent means that the two exponents are multiplied:
Any negative exponents can be converted to positive exponents in the denominator of a fraction:
The like terms can be simplified by subtracting the power of the denominator from the power of the numerator: