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