Question

a) [ 6.(-1/3)^3 - 3. (-1/3)+ 1] - (-1/3 - 1)

b) ( 6^3+ 3. 6^2+ 3^3 ) : 13

c) 9/10-1/90-1/72-1/56-1/42-1/30-1/20-1/12-1/6-1/2

Answer 1

a; [6.(- \(\dfrac{1}{3}\))³ - 3.(- \(\dfrac{1}{3}\) + 1)] - ( - \(\dfrac{1}{3}\) - 1)

=  [6. \(\dfrac{-1}{3^3}\) - 3.\(\dfrac{2}{3}\)] -  ( - \(\dfrac{1}{3}\) - \(\dfrac{3}{3}\)) 

= [\(\dfrac{-2}{9}\) - 2] + \(\dfrac{4}{3}\)

= [\(\dfrac{-2}{9}\) - \(\dfrac{18}{9}\)] + \(\dfrac{12}{9}\)

=   - \(\dfrac{20}{9}\) + \(\dfrac{12}{9}\)

=    \(\dfrac{-8}{9}\)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

b; (6³ + 3.6² + 3³): 13

=  (216 + 3.36 + 27) : 13

= (216 + 108 + 27): 13

= (324 + 27): 13

= 351 : 13

= 27