6.1 ANSWERS supporting path

Exercise 1:

Calculate 

a) 6²

= 6 ^. 6 

= 36 

 

b) (-10)² 

= -10 ^. -10 

= 100 

 

c) -9² 

= -9 ^. 9

= -81 

 

d) 4² + 3 - 1 

= 16 + 3 - 1 

= 18 -1 

= 17 

 

e) 6² - 3²

= 36 - 9

= 27

 

f) (7 - 6)² 

= (1)² 

= 1 

 

g) (1/4)² + (2/3)² 

= 1/16 + 4/9

= 9/144 + 64/144

= 73/144

 

h) 7 - 6² : 3 

= 7 - 36 : 3 

= 7 - 12 

= -5 

Exercise 2:

Calculate 

a) (-8)²

= -8 ^. -8 

=64

 

b) √81

= 9 

(because 9 ^. 9 = 81)

 

c) -√121

= -11

 

d) √-144

= no answer

(because you can't take the square root of a negative number)

 

e) √49 + 4² - 1 

= 7 + 4² - 1 

= 7 + 16 - 1 

= 22

 

f) 3 ^. √121 + 7 ^. √625

= 3 ^.  11 + 7 ^. 25

= 33 + 175

= 210