Question

simplify. express your answer using a single exponent.\\((r^{-10})^{-12}\\)

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 $(r^{-10})^{-12}$, this gives:
$r^{(-10) \times (-12)}$

Step2: Calculate the product of exponents

Multiply the two negative numbers:
$(-10) \times (-12) = 120$

Answer:

$r^{120}$