[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\textbf{Equation:}\mathbf{\dfrac{5^6}{5^2} = 5^c}[/tex]
[tex]\large\textbf{Convert to: }\mathbf{\dfrac{5\times5\times5\times5\times5\times5}{5\times5}=5^c}[/tex]
[tex]\large\textbf{Simplify it!}[/tex]
[tex]\mathbf{\dfrac{25\times25\times25}{25} = 5^c}[/tex]
[tex]\mathbf{\dfrac{625\times25}{25} = 5^c}[/tex]
[tex]\mathbf{\dfrac{15,625}{25}=5^c}[/tex]
[tex]\large\textbf{Simplify that as well!}[/tex]
[tex]\mathbf{\dfrac{15,625\div25}{25\div25} = 5^c}[/tex]
[tex]\mathbf{\dfrac{625}{1} = 5^c}[/tex]
[tex]\mathbf{625\div1= 5^c}[/tex]
[tex]\large\textbf{Lastly, simplify that one \& you have your answer!}[/tex]
[tex]\mathbf{625 = 5^c}[/tex]
[tex]\mathbf{625\approx 5^\boxed{\bf4}}[/tex]
[tex]\large\textbf{Now, let's simplify our exponent to make sure it is true!}[/tex]
[tex]\mathbf{5^4}[/tex]
[tex]\mathbf{= 5\times5\times5\times5}[/tex]
[tex]\mathbf{= 25\times25}[/tex]
[tex]\mathbf{= 625}[/tex]
[tex]\mathbf{= 5^4\leftarrow \rightarrow 625}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{5^4}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
