** ****
NEGATIVE EXPONENTS**

** 27/9 = 3 or 27/9 = 3 ^{3}/3^{2}
= 3^{3-2} = 3 The exponent for 3 is a positive “1” but we
don’t write it. It is understood to be there.**

** 9/27 reduces to 1/3.
Using exponents 9/27 = 3 ^{2}/3^{3} = 3^{2-3} = 3^{-1}
= 1/3 **

**1. a ^{4}/a^{7} = **answer

**2.**** Z ^{6}/Z^{15} = **answer

3.
m^{-7}/m-^{5} = answer

**
** ** Multiplication of
negative exponents has to follow the same rules** **as
those for positive exponents. **

**
** **Therefore t**^{-3}**
x t**^{-4}** = t
** ^{-3 + (-4)}** = t**^{-7}**
which equals 1/t**^{7
}** Try the following**
**problems:**

**1. r**^{ -7}**
x r ** ^{-3}** =
**
**answer**

**2. p**^{ -5}** p
** ^{4}** =
**
**answer**

**3. w**
^{- 6}**
w ** ^{6}** =
**
**answer**