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77Star77
@77Star77
October 2021
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iknowthatyoufeelbro
1) (1/16)^(-0.75) + (1/8)^(-4/3) = ((1/2)^4)^(-0.75)+((1/2)^3)^(-4/3) =
(1/2)^(4*(-0.75))+(1/2)^(3*(-4/3))=(1/2)^(-3)+(1/2)^(-4)=2^3+2^4=24
________________________________
2) (0.04)^(-1.5)-(0.125)^(-2/3) =
(1/25)^(-1.5)-(1/8)^(-2/3) =
((1/5)^2)^(-1.5)-((1/2)^3)^(-2/3) =
(1/5)^(2*(-1.5))-(1/2)^(3*(-2/3)) =
(1/5)^(-3)-(1/2)^(-2)=
5^3-2^2=125-4=121
________________________________
3) 8^(9/7) : 8^(2/7) - 3^(6/5)*3^(4/5) =
8^(9/7-2/7) - 3^(6/5+4/5) =
8^1 - 3^2 = 8-9=-1
________________________________
4) (5^(-2/5))^(-5) + ((0.2)^(3/4))^(-4) =
5^((-2/5)*(-5)) + (1/5)^((3/4)*(-4)) =
5^2 + (1/5)^(-3) =
5^2+5^3=25+125=150
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77Star77
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Answers & Comments
(1/2)^(4*(-0.75))+(1/2)^(3*(-4/3))=(1/2)^(-3)+(1/2)^(-4)=2^3+2^4=24
________________________________
2) (0.04)^(-1.5)-(0.125)^(-2/3) =
(1/25)^(-1.5)-(1/8)^(-2/3) =
((1/5)^2)^(-1.5)-((1/2)^3)^(-2/3) =
(1/5)^(2*(-1.5))-(1/2)^(3*(-2/3)) =
(1/5)^(-3)-(1/2)^(-2)=
5^3-2^2=125-4=121
________________________________
3) 8^(9/7) : 8^(2/7) - 3^(6/5)*3^(4/5) =
8^(9/7-2/7) - 3^(6/5+4/5) =
8^1 - 3^2 = 8-9=-1
________________________________
4) (5^(-2/5))^(-5) + ((0.2)^(3/4))^(-4) =
5^((-2/5)*(-5)) + (1/5)^((3/4)*(-4)) =
5^2 + (1/5)^(-3) =
5^2+5^3=25+125=150