Question

simplify.
\\((u^6)^2\\)
write your answer without parentheses.

Explanation:

Step1: Apply power of a power rule

The power of a power rule states that \((a^m)^n = a^{m \times n}\). For the expression \((u^6)^2\), we have \(a = u\), \(m = 6\), and \(n = 2\). So we multiply the exponents: \(6\times2\).
\[
(u^6)^2 = u^{6\times2}
\]

Step2: Calculate the product of exponents

Calculate \(6\times2 = 12\). So the expression simplifies to \(u^{12}\).
\[
u^{6\times2}=u^{12}
\]

Answer:

\(u^{12}\)