Question

simplify.
$x^2 \cdot x^5 \cdot x$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying terms with the same base, we add the exponents. The rule is \(a^m \cdot a^n = a^{m + n}\). Also, note that \(x = x^1\).
So for \(x^2 \cdot x^5 \cdot x\), we can rewrite \(x\) as \(x^1\), then apply the rule.

Step2: Add the exponents

\(x^2 \cdot x^5 \cdot x^1 = x^{2 + 5 + 1}\)
Calculate the sum of the exponents: \(2 + 5 + 1 = 8\)
So the simplified form is \(x^8\).

Answer:

\(x^8\)