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question simplify: $c^{5}cdot c^{3}$ answer attempt 1 out of 2
Step1: Apply exponent - product rule
When multiplying two powers with the same base \(a^m\cdot a^n=a^{m + n}\), here \(a = c\), \(m = 5\) and \(n=3\). So \(c^5\cdot c^3=c^{5 + 3}\).
Step2: Calculate the exponent sum
\(5+3 = 8\), so \(c^{5 + 3}=c^8\).
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\(c^8\)