Question

simplify.
$(u^3)^6$
write your answer without parentheses.

Explanation:

Step1: Apply power of a power rule

To simplify \((u^{3})^{6}\), we use the power of a power rule, which states that \((a^{m})^{n}=a^{m\times n}\). Here, \(a = u\), \(m = 3\), and \(n = 6\). So we multiply the exponents: \(3\times6 = 18\).
<Expression: \((u^{3})^{6}=u^{3\times6}\)>

Step2: Calculate the product of exponents

Calculating \(3\times6\) gives us 18. So the simplified form is \(u^{18}\).
<Expression: \(u^{3\times6}=u^{18}\)>

Answer:

\(u^{18}\)