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QUESTION IMAGE

simplify. v²·v·v⁵

Question

simplify.
v²·v·v⁵

Explanation:

Step1: Recall exponent rule

When multiplying variables with exponents, \(a^m \cdot a^n = a^{m + n}\). Also, \(v = v^1\).

Step2: Apply the rule

\(v^2 \cdot v \cdot v^5 = v^2 \cdot v^1 \cdot v^5 = v^{2 + 1 + 5}\)

Step3: Calculate the sum

\(2 + 1 + 5 = 8\), so \(v^{2 + 1 + 5}=v^8\)

Answer:

\(v^8\)