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simplify. express your answer using positive exponents. \\(\\frac{c^6}{…

Question

simplify. express your answer using positive exponents.
\\(\frac{c^6}{c}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing powers with the same base, we subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$ (where $a
eq0$). Here, the base is $c$, the numerator exponent is $6$, and the denominator exponent is $1$ (since $c = c^1$).

Step2: Apply the exponent rule

$\frac{c^6}{c}=\frac{c^6}{c^1}=c^{6 - 1}=c^5$

Answer:

$c^5$