Question

5^6/5^2=5^c c=??????

Answer 1

it would be 4 since when you divide exponents you subtract the little number
5^6/5^2
keep the five subtract the 6-2
if it was multiplying you would do the opposite and add the little numbers

Answer 2

`\huge\textbf{Hey there!}`

`\large\textbf{Equation:}\mathbf{(5^6)/(5^2) = 5^c}`

`\large\textbf{Convert to: }\mathbf{(5*5*5*5*5*5)/(5*5)=5^c}`

`\large\textbf{Simplify it!}`

`\mathbf{(25*25*25)/(25) = 5^c}`

`\mathbf{(625*25)/(25) = 5^c}`

`\mathbf{(15,625)/(25)=5^c}`

`\large\textbf{Simplify that as well!}`

`\mathbf{(15,625/25)/(25/25) = 5^c}`

`\mathbf{(625)/(1) = 5^c}`

`\mathbf{625/1= 5^c}`

`\large\textbf{Lastly, simplify that one \& you have your answer!}`

`\mathbf{625 = 5^c}`

`\mathbf{625\approx 5^\boxed{\bf4}}`

`\large\textbf{Now, let's simplify our exponent to make sure it is true!}`

`\mathbf{5^4}`

`\mathbf{= 5*5*5*5}`

`\mathbf{= 25*25}`

`\mathbf{= 625}`

`\mathbf{= 5^4\leftarrow \rightarrow 625}`

`\huge\textbf{Therefore, your answer is: \boxed{\mathsf{5^4}}}\huge\checkmark`

~
`\huge\textbf{Amphitrite1040:)}`