Respuesta :

Answer:

[tex]?=4[/tex]

Step-by-step explanation:

[tex]\frac{5^2*5^6}{5^4}=5^?\\ \\\frac{5^{2+6}}{5^4}=5^?\\ \\\frac{5^8}{5^4}=5^?\\\\5^{8-4}=5^?\\\\5^4=5^?\\\\?=4[/tex]

[tex] \frac{5 {}^{2} \times {5}^{6} }{5 {}^{4} } \\ { \frac{5}{5 {}^{4} } }^{2 + 6} \\ \frac{ {5}^{8} }{5 {}^{4} } \\ 5 {}^{8 - 4} \\ 5 {}^{4} [/tex]

so 5⁴ is the answer