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mathstudent55
Here is the definition of a negative exponent.

For any non-zero value of a,

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

Look at your problem and follow the definition.

[tex] 4^{-3} = \dfrac{1}{4^3} [/tex]

Since 4^3 = 4 * 4 * 4 = 64, we can now write:

[tex] 4^{-3} = \dfrac{1}{4^3} = \dfrac{1}{4 \times 4 \times 4} = \dfrac{1}{64} [/tex]

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