Question

How do I simplify fractions with exponents, such as 5^6/5^2?

Answer 1

remember this
\(\huge \frac{a^y}{a^x} = a^{y-x}\)

Answer 2

\[\frac{ 5^6 }{ 5^2} = \frac{ 5\times5\times5\times5\times5\times5 }{ 5\times5 }\]

Answer 3

Thanks Guys, KendrickLamar I thought so.

Answer 4

\[= 5\times5\times5\times5\]
\[= 5^4\]

Answer 5

since this question also has the same base we can do
\(\huge \frac{5^6}{5^2} = 5^{6-2} = 5^x\)

Answer 6

Yeah and since 5^4 is the same as 5*5*5*5, the answer would be 625.

Do you agree @Co1byJack

Answer 7

and \(x\) as you may know, is 4
\(\text{Final Answer} = \huge 5^4\)

Answer 8

@KendrickLamar2014 Yes

Answer 9

:)