## Math Basics## More About Numbers |

## How can we simplify various expressions using exponents? |

The following are ways to solve simple mathematical expressions with the same base:

To multiply two numbers with different exponents, add the exponents:

(*x*^{2})(*x*^{4}) = (*xx*)(*xxxx*) = *xxxxxx* = x^{2+4} = *x*^{6}

To raise a number with a power, multiply the exponents:

(*x*^{3})^{3} = (*x*^{3})(*x*^{3})(*x*^{3}) = (*xxx*)(*xxx*)(*xxx*) = *xxxxxxxxx* = *x*^{(3x3)} = *x*^{9}