Equations are represented with the "=" sign. It means the expressions on either side are equal. The equation has no solution for a
Given that:
[tex]a^{-3} = (\frac{1}{a})^5[/tex] --- the correct equation
First, we apply the power rule of indices
[tex]a^{-3} = (a^{-1})^5[/tex]
Open the bracket
[tex]a^{-3} = a^{-1 \times 5}[/tex]
[tex]a^{-3} = a^{-5}[/tex]
Cancel out (a) on both sides
[tex]{-3} ={-5}[/tex]
The above solution is not true because
[tex]{-3} \ne {-5}[/tex]
Hence, the equation has no solution for a
Read more about equations at:
https://brainly.com/question/10838664
