Respuesta :

Answer:

[tex] a^{-15} = \dfrac{1}{a^{15}} [/tex]

Step-by-step explanation:

Definition of negative exponent.

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

This case:

[tex] a^{-15} = \dfrac{1}{a^{15}} [/tex]

Rewriting negative exponent with positive exponent we get,

[tex]5^{-15}=\frac{1}{5^{15}}[/tex]

Given :

[tex]5^{-15}[/tex] with negative exponent

To convert negative exponent to positive exponent we apply exponential property

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

To make negative exponent to positive we take the exponent to the denominator

Apply the same property to write the given exponent using positive exponent

[tex]5^{-15}=\frac{1}{5^{15}}[/tex]

Learn more:  brainly.com/question/16404573

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