Question

simplify. express your answer using a single exponent.\\((t^{-5})^8\\)

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, multiply the exponents: $(a^m)^n = a^{m \times n}$.
For $(t^{-5})^8$, this gives $t^{-5 \times 8}$.

Step2: Calculate the product of exponents

Compute $-5 \times 8 = -40$.
So the expression simplifies to $t^{-40}$.

Answer:

$t^{-40}$