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A\(=2\left(1+2+2^2+2^3\right)+...+2^{2397}\left(1+2+2^2+2^3\right)\)
\(=15\left(2+...+2^{2397}\right)⋮15\)
\(A=\left(2+2^2+2^3+2^4+2^5+2^6\right)+...+\left(2^{2395}+2^{2396}+2^{2397}+2^{2398}+2^{2399}+2^{2400}\right)\)
\(=126\left(1+...+2^{2394}\right)⋮21\)
a)
1 2 + − 3 5 + 1 10 ≤ x ≤ 8 3 + 14 6 ⇔ 0 ≤ x ≤ 5 x ∈ 0 ; 1 ; 2 ; 3 ; 4 ; 5
b)
11 3 + − 19 6 + − 15 2 ≤ x ≤ 19 12 + − 5 4 + − 10 3 ⇔ − 7 ≤ x ≤ − 3 x ∈ − 7 ; − 6 ; − 5 ; − 4 ; − 3
a) 1 ≤ x ≤ 6 ⇒ x ∈ - 3 ; - 2 ; - 1 ; 0 ; 1
b) - 7 ≤ x ≤ - 3 ⇒ x ∈ - 3 ; - 2 ; - 1 ; 0 ; 1
\(\left(1200+12\right):24\)
\(=1200:24+12:24\)
\(=50+\frac{12}{24}=50+\frac{1}{2}=\frac{50}{1}+\frac{1}{2}\)
\(=\frac{100}{2}+\frac{1}{2}=\frac{100+1}{2}=\frac{101}{2}\)
\(=50.5\)
a) – 3 < x < 2 => x ∈ {-2;-1;0;1}
b) − 4 21 < x 21 < 2 21 => x ∈ {-3;-2;-1;0;1}
c) 1 ≤ x ≤ 6 => x ∈ {-3;-2;-1;0;1}
d) -7 ≤ x ≤ -3 => x ∈ {-3;-2;-1;0;1}
(12x4^4-2x4^5):4^5=2.4^4(6-4):4^5
=2x4^4x2:4^5
= 4^4x4:4^5
=4^5:4^5
= 1
( 12 x 44 - 2 x 45 ) : 45
= ( 12 x 256 - 2 x 1024 ) : 1024
= ( 3072 - 2048 ) : 1024
= 1024 : 1024
= 1