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