# How do you simplify #-2^-1+5^-2#?

##### 1 Answer

Apr 3, 2018

#### Explanation:

You just need to know how negative exponents work: they are the same as positive exponents, except for the fact that you have to "flip" the number before (i.e. swap numerator and denominator, where you can reed integers as divided by

For example, if you have

**flip** the number:

**apply** the positive power:

While for

**flip** the number:

**apply** the positive power:

Thus, we have

#-2^(-1) + 5^(-2) = -1/2+1/25 = (-25+2)/50 = -23/50