QUESTION IMAGE
Question
simplify.
$w \cdot w^2 \cdot w^5 \cdot w$
Step1: Rewrite single $w$ as exponents
$w = w^1$, so the expression becomes $w^1 \cdot w^2 \cdot w^5 \cdot w^1$
Step2: Apply exponent product rule
When multiplying like bases, add exponents: $w^{1+2+5+1}$
Step3: Calculate the sum of exponents
$1+2+5+1 = 9$, so we get $w^9$
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$w^9$