Matematika Teknik 1

1.       Sederhankanlah

a.       J¹²      =   (J⁴)³ = 1³

= 1

b.      J¹⁰    =   (J⁴)² . J²   

= 1² . (-1)

= -1

c.       J²³      =   (J⁴)⁵ . J³  

= 1⁵ . J² . J¹

= 1 . (-1)

= -1

2.       Sederhanakanlah

a.       (5 – J9) – (2 – J6) + (3 – J4)    =             5 – J9 – 2 + J6 + 3 – J4

=             (5 – 2 + 3) + J (6 - 9 – 4)

=             6 – J7

b.      (6 – J3) (2 + J5) (6 – J2)           =             (12 + J30 – J6 – J²15) (6 – J2)

=             (12 + J24 – J²15) (6 – J2)

=             72 – J24 + J144 – J²48 – J²90 + J³30

=             72 – J120 – J²128 + J³30

c.        (4 – J3)²                                                   =             (4 – J3) (4 – J3)

=             16 – J12 – J12 + J²9

=             16 – 24J + J²9

d.      (5 – J4) (5 + J4)                          =             25  + J20 – J20 – J²16

=             25 – J²16

=             25 – (-1) 16

=             25 + 16

=             41

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Author : Admin

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