Question

simplify.
$left(u^{-6}
ight)^{-6}$
write your answer without using negative exponents.

Explanation:

Step1: Apply exponent power rule

When raising a power to a power, we multiply the exponents. The formula is \((a^m)^n = a^{m\times n}\). For \((u^{-6})^{-6}\), we multiply \(-6\) and \(-6\).
$$(u^{-6})^{-6}=u^{(-6)\times(-6)}$$

Step2: Calculate the product of exponents

Calculate \((-6)\times(-6)\), which equals \(36\).
$$u^{(-6)\times(-6)} = u^{36}$$

Answer:

\(u^{36}\)