Question

simplify.
$u cdot u^5 cdot u^4 cdot u$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying terms with the same base, we add the exponents: \(a^m \cdot a^n = a^{m + n}\). Here, the base is \(u\), and we have \(u^5 \cdot u^4 \cdot u\). Note that \(u = u^1\).

Step2: Add the exponents

For \(u^5 \cdot u^4 \cdot u^1\), we add the exponents: \(5 + 4 + 1\).

Calculating the sum: \(5 + 4 + 1 = 10\).

So, \(u^5 \cdot u^4 \cdot u = u^{10}\).

Answer:

\(u^{10}\)