Question

Working with exponents with decimals and fractions (On 18 make sure you understand the -8 is not in parentheses!)

11. (2/5)^2

12. (-1/3)^3

13. (-0.6)^2

14. (0.5)^2

15. 1.04 x (-2.5)

16. -12.8 ÷ 0.8

17. (-37.41 ÷ 4.3)

18. -8^2 ÷ (-3.2)

19. 3.6 ÷ 0.6

Answer 1

Hello,

(2/5)^²=2^² / 5^² = 4 / 25 = 0.16

(-1/3)^³ = (-1)^³ / (3)^ ³ = (-1) / 27 = - 1/27

(-0.6)² = (-6/10)² = 36 / 100 = 3.6 since 6 times 6 equal 36

0.5² = (5/10)² = 5² / 10² = 25 / 100 = 5 × 5 / 5 × 5 × 4 = 1/4

1.04 × (-2.5)= (1+0.4)×(-5/2) = -5/2 + (4/10 × (-5/2)) = -5/2 + ( - 20 / 20= -5/2 -1 = -5/2 - 2/2 = -7/2

(-12.8) ÷ (0.8) = (-12 - 8/10) / (8/10) divide a number a with a number b is multiplying a with the inverse of b.. = (-12-8/10) × (10/8) = (-12 × 10/8) - (8/10 × 10/8) = (( -4×3 × 5 × 2 ) / (4×2)) - 1 = -15-1 = -16

(-37.41 )/(4.3) = ( -37 -0.41)/ (43/10) divide a number a with a number b is multiplying a with the inverse of b.. ( -37-41/100) × (10/43) = ((-37× 10)/43)- ((41× 10)/43)= -370/43 - 410/43= -780/43

-8^² / (-32/10) = 64 × (10/32) = 2×32 × 10 / 32 = 20

(36 /10) / (6/10)= 36/10 × 10/6 = 36/6 = 6

Good luck