Answer:
The equivalent expression to the given expression [tex](a^8)^4[/tex] is [tex]a^{32}[/tex]
Step-by-step explanation:
Given expression is [tex](a^8)^4[/tex]
We have to find an equivalent expression to the given expression [tex](a^8)^4[/tex]
Consider the given expression [tex](a^8)^4[/tex]
Applying property of exponent [tex](a^m)^n=a^{m\cdot n}[/tex]
We have,
[tex](a^8)^4=(a)^{8\cdot 4}[/tex]
Simplify, we get,
[tex](a)^{8\cdot 4}=a^{32}[/tex]
Thus, the equivalent expression to the given expression [tex](a^8)^4[/tex] is [tex]a^{32}[/tex]
