Question

simplify. express your answer using a single exponent. \\((n^{-4})^{8}\\)

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, multiply exponents: $(a^m)^n = a^{m \times n}$
For $(n^{-4})^8$, this means $n^{-4 \times 8}$

Step2: Calculate the product of exponents

Compute $-4 \times 8 = -32$
So the expression simplifies to $n^{-32}$

Answer:

$n^{-32}$