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 32 × 33 = 35 (3 is the base).
  • To multiply like exponents, combine terms, such as 102 × 22 = (10 × 2)2 = 400.
  • To divide identical bases, subtract the exponents, such as 103/10 = 103-1 = 102 = 100 (the denominator 10 has an assumed exponent of 1).