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question simplify: $c^{5}cdot c^{3}$ answer attempt 1 out of 2

Question

question simplify: $c^{5}cdot c^{3}$ answer attempt 1 out of 2

Explanation:

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 \(c^{5 + 3}=c^8\).

Answer:

\(c^8\)