Math Connect Answers with steps to Edition 2 Questions

ANSWERS With Steps 

1. 3²⁹ (1+1+1) = 3²⁹. 3

                       = 3²⁹⁺¹ 

                       = 3³⁰

2. 5³³ x 2⁴⁴ = (5³)¹¹ x (2⁴)¹¹

                 = (5³ x 2⁴ )¹¹ 

                 = (125 x 16 ) ¹¹

                 = (2000)¹¹

3.   (125 x 125 x 125 - 25 x 25 x 25)/(125 x 125 + 125 x 25 + 25 x 25).

                    = (125³ - 25³ )/(125x125 + 125x25 + 25x25)

                    = [(125 - 25 ) (125² + 125 x 25 + 25²)]/(125² +125x25 + 25²)

                    = 125 - 25

                    = 100                                   

4.     (5⁵)¹⁰, (6⁴)¹⁰, (7²)¹⁰, (8³)¹⁰

(3125)¹⁰, (1296)¹⁰, (49)¹⁰, (512)¹⁰

5⁵⁰ is the greatest 

5.  (yz+zx+xy)/xyz =6

yz+zzx+xy = 6xyz = 6(5) = 30

xy²z² + x²yz² + x²y²z

= xyz(yz+zx+xy)

= 5(30)

= 150

6. 64 days = 63 + 1

                  = 9 weeks + 1

Therefore the answer is Friday.

7 . (√2 + 2√2 + 3√2 ) /√18

     =6√2 / √(9x2)

    = 6√2 / 3√2

    = 2

8. 15, 47, 128, 192, ---, ---

47 - 15 = 32 = 2⁵

128 - 47 = 81 = 3⁴

192 - 128 = 64 = 4³

Next two terms are

              192  +  5² = 217

              217  +  6¹ = 223

9. √36 + √0.36 + √0.0036 + √0.000036

  = 6 + 0.6 + 0.06 + 0.006

  = 6.666

10. ( 9² x 18⁴ )/3¹⁶

   = (9² x (9x2)⁴/ (3²)⁸

   = (9² x 9⁴ x 2⁴) / 9⁸

   = (9²⁺⁴ x 2⁴ ) /9⁸

   = (9⁶ x 2⁴ ) /9⁸

   = 2⁴ / 9⁸⁻⁶

   = 2⁴ / 9²

   =16/81

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