Question

POR FAVOR ME AJUDEM !!!

Reduza as potências a uma única base (a menor possível)

A)2.³.4².8

B)3²÷3-¹

C) 0,5. 0,125

D) √27 .9.1/3

E) 102 ÷ ³√8

F) 6√1/9 . 243²

Answer 1

a) $2^3.4^2.8=2^3.2^4.2^3=2^{10}$

b) $3^2:3^{-1}=3^{2-(-1)}=3^3$

c) $0,5.0,125=\frac{1}{2}.\frac{1}{8}=2^{-1}.8^{-1}=2^{-1}.2^{-3}=2^{-4}$

d) $\sqrt{27}.9.\frac{1}{3}=27^{\frac{1}{2}}.3^2.3^{-1}=3^{\frac{3}{2}}.3^2.3^{-1}= 3^{\frac{3}{4} +2+(-1)}=3^{\frac{3+8-4}{4}}=3^{\frac{7}{4}$

e) $102:\sqrt[3]{8}=102:2=51$

f) $\frac{6}{9}.3^{10}=\frac{6}{3^2}.3^{10}$