## Algebra## Exponents and Logarithms |

## What are some rules for combining exponents? |

There are also rules for combining exponents (also called the *laws of indices):*

- To multiply exponents with identical bases, add the exponents, such as 3
^{2}× 3^{3}= 3^{5}(3 is the base). - To multiply like exponents, combine terms, such as 10
^{2}× 2^{2}= (10 × 2)^{2}= 400. - To divide identical bases, subtract the exponents, such as 103/10 = 10
^{3-1}= 10^{2}= 100 (the denominator 10 has an assumed exponent of 1).