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