Question

urgeeeeeeeeeeeeeeeeente!


3) escreva em uma unica potencia

a)$11 ^{3} . (11 ^{4} ) ^{2} .11$÷ $11 ^{6}$
b)$(2 ^{4} ) ^{3} .2 ^{7}.2 ^{3}$÷$(2 ^{11} ) x^{2}$
c)$10 ^{-2} . (\frac{1}{10} ) ^{-3}$÷$(0,01 ) ^{-1}$
d) $10.10 ^{-5} . (10 ^{2} ) ^{-3}$÷$(10 ^{-4} ) ^{-3}$


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Answer 1

a) 11³ .11^8 .11 ÷ 11^6 ==> 11^(3+8+1) ÷  11^6

==> 11^12 ÷ 11^6 = 11^(12-6) ==> 11^6 
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b)  (2^4)^3.2^7.2^3 ÷ 2^11x² =   2^12.2^7.2^3 ÷ 2^11x² =

2^(12+7+3) ÷ 2^11x² = 2^22 ÷ 2^11x² =  2^(22-11)x² ==> 2^11x² 
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c) 10^-2 . (1/10)^-3   ÷ (0,01)^- 1 ==> 10^-2 . (1/10)^-3   ÷ [(1/10)^2)]^- 1 

10^-2 . (10^-1)^-3 ÷ [(10^-1)^2)]^- 1 ==>  10^-2.10^3 ÷ 10^2 

 10^(-2+3) ÷ 10^2 ==> 10^1 ÷ 10^2  ==> 10^(1-2) ==> 10^-1
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d) 10^1 .10^-5 .(10^2)^-3 ÷ (10^-4)^-3 ==> 10^1 .10^-5 .10^-6 ÷ 10^12 
 
10^(1-5-6) ÷ 10^12 ==> 10^- 10 ÷ 10^12 ==. 10^(-10-12) ==> 10^-22