Question

simplify.
w^4cdot wcdot w^2

Explanation:

Step1: Recall exponent - product rule

When multiplying powers with the same base \(a^m\cdot a^n=a^{m + n}\). Here the base is \(w\).
\[w^4\cdot w\cdot w^2=w^4\cdot w^1\cdot w^2\]

Step2: Apply the rule

Add the exponents: \(4 + 1+2\).
\[w^{4 + 1+2}=w^7\]

Answer:

\(w^7\)