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a: \(3200:40\cdot2=160\)
b: \(3920:28:2=70\)
c: \(\left(3^4\cdot5^7-9^2\cdot21\right):3^5=3^2\cdot5^7-7=703118\)
a) (-8,4).3,2 = - (8,4 . 3,2) = -26,88.
b) 3,176 - (2,104 + 1,18) = 3,176 - 3,284 = -(3,284 - 3,176)= -0,108.
c) - ( 2,89 - 8,075) + 3,14 = - [-(8,075-2,89)] + 3,14 = - (-5,185) + 3,14= 5,185 + 3,14 = 8,325.
a, 8-(3-7)
=8-(-4)
=4
b,(-5)-(9-12)
=(-5)-(-3)
=(-8)
c,7-(-9)-3
=(-2)-3
=-1
d.(-3)+8-11
=5-11
=6
a: \(\left(-305\right)+400+305\)
\(=\left(-305+305\right)+400\)
=0+400
=400
b: \(\left(-511\right)-\left(-11\right)\)
=-511+11
=-(511-11)
=-500
c: \(0-\left(12345+15\right)\)
\(=0-12360\)
=-12360
d: \(333-\left[\left(-14657\right)+57\right]-78\)
\(=333+14657-57-78\)
\(=\left(333-78\right)+14600\)
\(=255+14600=14855\)
a) 3,7 - 4,32 = - (4,32 – 3,7) = 0,62
b) -5,5 + 90,67 = 90,67 – 5,5 = 85,17
c) 0,8 - 3,1651 = - (3,1651 – 0,8) = - 2,3651
d) 0,77 - 5,3333 = -(5,3333 – 0,77) = - 4,5633
e) -5,5 + 9,007 = 9,007 – 5,5 = 3,507
g) 0,008 - 3,9999 = - ( 3,9999 – 0,008) = -3,9919.
a) \(\frac{4^6.3^4.9^5}{6^{12}}=\frac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\frac{3^{14}}{3^{12}}=3^2=9\)
c) \(\frac{45^3.20^4.18^2}{180^5}=\frac{5.9^3.2^2.5^4.2^2.9^2}{2^{10}.5^5.9^5}=\frac{5.3^6.2^2.5^4.2^2.3^4}{2^{10}.5^5.3^{10}}=\frac{5^9.3^{10}.2^4}{2^{10}.5^5.3^{10}}=\frac{5^4}{2^6}\)