# Basic Operations

# Powers

**Powers**, also known as **exponents**, are a way to shorten long strings of multiplication.

Instead of writing , write which means "multiply four 5s together."

Or how about this for a timesaver: isn't easier to write than ?

## Important Rules of Powers

- Any number to the power of 0 is 1
- and

- Any number to the power of 1 is itself
- and

- When you see a number raised to a
*negative exponent,*take the reciprocal of the number (flip the fraction) and then change the exponent from negative to positive - Remember to follow PEMDAS, the order of operations. and are two different problems.
- The first, , means to take the negative of . The answer is the negative of or .
- The second problem means to square , so it would simplify as , or