Question

a) [4 * (-0,1)^3 - (-0,1)^3 * 3] * 10^3

b) 5 *(-1/5)^2 + 6* (1/5)^0 - 0,2

c) -(1/4)^2 * 2^4-(-2)^0 - 4^3 * (-1/4)^2

d) (-1,5) ^2 : 0,5 ^2 - [ - 16/9 + 7/ 9]^5

Answer 1

a) [4*(-0,1)^3-(-0,1)^3*3]*10^3=

=[4*(-0,001)-(-0,001)*3]*10^3=

=[-0,004-(-0,003)*1000=

=[-0,004+0,003]*1000

=-0,001*1000

=-1

 

b) 5*(-1/5)^2+6*(1/5)^0-0,2=

=5*(1/25)+6*1-0,2=

=5*1/5+6-0,2=

=1/5+6/1-1/5=

=1/5+30/5-1/5=

=30/5=

=6

c) -(1/4)^2*2^4-(-2)^0-4^3*(-1/4)^2=

=-1/16-16-1-64+1/16=

=-1/16-256/16-16/16-1024-16+1/16=

=-1296/16=

=-81

d) (-1,5)^2 : 0,5^2-[-16/9+7/9]^5=

=2,25 // 0,25-(-9/9)^5=

=2,25 // 0,25-(-1)^5=

=2,25 // 0,25-(-1)=

=2,25 // 0,25+1=

=2,25 // 1,25=

=1,8