Resolva as expressões:
a)216.[tex]6^{4}[/tex]
_____________
[tex]6^{13}.(6^{2})[/tex]-6(expoente)
b)[tex]5^{-4}.625[/tex]
______________
[tex]5^{-3}.5[/tex]
c)[tex](2^{7} . 2^{-5})[/tex]-2(expoente).32
___________________________
512.[tex]2^{-8}[/tex]
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Verified answer
a) 216.6^4 = 2^3.3^3 (2.3)^4 = 2^3.2^4.3^3.3^4 = 2^7.3^7.2^-1.3^-1 ==> 2^6.3^6
6^13.(6^-2)^6 6^13.6^-12 2.3
b) 5^-4.625 = 5^-4.5^4 = 5^0.5^2 ==> 5^2
5^-3.5 5^-2
c) ((2^7.2^-5)^-2)^32 = (2^2)^-64 = 2^-128 ==> 2^128.2^-1 ==> 2^127
512.2^-8 2^9.2^-8 2^1