Oblicz.
a) (-45)³·(¹/₁₅)³+25²:(-5)² b) (¹/₄₂)³:(-¹/₂₁)³-100³·(-¹/₁₀)³
c) (1,2)³:12³-(0,6)⁵·(-1²/₃)⁵ d) (-1¹/₃)²¹·(0,75)²¹-(0,5)⁰:2⁰
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a)
(-45)^3 *(1/15)^3 + 25^2:(-5)^2 =
=(-45/15)^3 +[25:(-5)]^2 =
= (-3)^3 + (-5)^2 =
=-27 + 25 = -2
b)
(1/42)^3:(-1/21)^3 -100^3 *(-1/10)^3 =
= [1/42 *(-21)]^3 -[100 *(-1/10)]^3 =
=(0,5)^3 -(-100/10)^3 =
=(-0,5)^3 -(-10)^3 =
=-0,125 -(-1000) =
= -0,125 +1000 = 999,875
c)
(1,2)^3:12^3 -(0,6)^5 *(-1 2/3)^5 =
=(1,2:12)^3 -(0,6)^5 *(-5/6)^5 =
=(0,1)^3 -[6/10 *(-5/6)]^5 =
=(0,1)^3 -(-0,5)^5 =
0,001 + 0,125 =0,126
d)
(-1 1/3)^21 *(0,75)^21 -(0,5)^0:2^0 =
=[(-4/3) *3/4]^21 -1:1 =
=(-1)^21-1 = -1 -1 = -2