Question

using the quotient of powers property, rewrite each expression as a single power using positive exponents. $\frac{c^8}{c^3}$

Explanation:

Step1: Apply Quotient of Powers Property

The quotient of powers property states $\frac{x^m}{x^n}=x^{m-n}$. For $\frac{c^6}{c^3}$, substitute $x=c$, $m=6$, $n=3$.
$\frac{c^6}{c^3}=c^{6-3}$

Step2: Simplify the exponent

Calculate the difference in the exponent.
$c^{6-3}=c^3$

Answer:

$c^3$