Example 1

Express the negative exponents as fractions.

a) [[$ 6^{-1} = \dfrac{1}{6^1} = \dfrac{1}{6} $]]​

b) [[$ 4^{-3} = \dfrac{1}{4^3} = \dfrac{1}{64} $]]​

c) [[$ \dfrac{3^2}{3^4} = 3^{2-4} = 3^{-2}=\dfrac{1}{3^2} = \dfrac{1}{9} $]]​

Example 2

Express using negative exponents.

a)	[[$ \dfrac{1}{7} = 7^{-1} $]]​
b)	[[$ \dfrac{1}{4^8} = 4^{-8} $]]​
c)	[[$ \dfrac{1}{x^3} = x^{-3} $]]​
d)	[[$ \dfrac{5x}{y^2} = 5xy^{-2} $]]​
e)	[[$ \dfrac{1}{2a^4} = \dfrac{1}{2}a^{-4} $]]​	Be careful with the base.