In general, .


Example 1

When multiplying powers with "like" bases, add the exponents.


In general, .


Example 2

When dividing powers with "like" bases, subtract the exponents.


In general, .


Example 3

When a power is raised to an exponent, multiply the exponents.



In general, .


Example 4

When any non-zero base is raised to the exponent of 0, it will equal 1.