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PEMBAHASAN BENTUK PANGKAT DAN AKAR KELAS

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(1)

1. C

8− 1 3= 1

8 1 3

=31

8= 1 2

2. C

7 8 6=7

6 6+

2 6=7

6 6×7

2

6=71×7 1

3=7×3

7=73

7

3. B 1

1+xpq+ 1

1+xqp= 1

1+x p xq

+1

1+x q xp

=1 xq xq+

xp xq

+1 xp xp+

xq xp

=1 xq+xp xq

+1 xq+xp xp =x

q xq+xp+

xp

xq+xp=

xq+xp xq+xp=1

4. A

(

x

+

y

)

3a+1

(

x

+

y

)

2a+5

=(

x

+

y

)

3a+1−(2a+5)

=

(

x

+

y

)

3a+1−2a−5

=(

x

+

y

)

a−4

5. B

(

a2b

c2

)

3

×b

4

ac3=

(

a2×3b3

c2×3

)

×

b4

ac3=

a6

a ×

b3×b4

1 ×

1

c6×c3

=a6−1×b3+4×1

c6+3=

a5b7

c9

6. B

(

3

x

+

3

x

)

2

=(

6

)

2

(

3

x

)

2

+

2

(

3

x

)(

3

x

)

+

(

3

x

)

2

=

36

(2)
(3)

(

a

1 2

a

1 2

)

2

(

a

1 2

+

a

1 2

)

2

=

[

(

a

1 2

a

1 2

)(

a

1 2

+

a

1

2

)

]

=

[

(

a

1 2

)

2

(

a

1 2

)

2

]

=

(

a

1

a

−1

)

2

=

(

a

1

a

)

2

=

(

a

)

2

2

(

a

)

(

1

a

)

+

(

1

a

)

2

=

a

2

2

+

1

a

2

=

a

4

2

a

2

+

1

a

2

=

1

a

2

(

a

2

1

)

2

11. B

p

2

2

=

(

1

+

3

)

2

2

=

[

(

1

2

)

+

2

(

1

)

(

3

)

+

(

3

)

2

]

2

=

(

1

+

2

3

+

3

)

2

=

4

+

2

3

2

=

2

+

2

3

=

2

(

1

+

3

)

=

2

p

12. B

f

(

x

)

f

(

y

)=

f

(

x

+

y

)

a

x

a

y

=

a

x+y

a

x+y

=

a

x+y

13. A

(

z

5

u

5

)

3

=

(

z

5

u

5

)

×

(

z

5

u

5

)

×

(

z

5

u

5

)

=−

z

15

u

15

14. C

(

x

2

y

3

)

6

:

(

y

6

x

−4

)

−3

=

(

x

12

y

18

)

:

(

y

−18

x

12

)

=

(

x

12

y

18

)

×

(

x

12

y

−18

)

=

x

12+12

y

18−18

=

x

24

y

0

=

x

24

15. E

0, 0036 0,3 =

36 10000

3 10

=

6 100

3 10

= 6

100× 10

(4)
(5)

5

6

5

+

1

=

0

5

2x

5

1

6

5

x

+

1

=

0

5

(

5

x

)

2

6

5

x

+

1

=

0

Misalkan

5

x

=

a

5

a

2

6

a

+

1

=

0

(

5

a

1

)(

a

1

)=

0

5

a

1

=

0

a

1

=

0

5

a

=

1

a

=

1

a

=

1

5

5

x

=

1

5

x

=

1

5

x

=

0

x

=−

1

20. A

9

3x

2

3

3x+1

27

=

0

(

3

2

)

3x

2

3

3x

3

1

27

=

0

(

3

3x

)

2

6

3

3x

27

=

0

Misalkan

3

3x

=

a

a

2

6

a

27

=

0

(

a

9

) (

a

+

3

)

=

0

a

9

=

0

a

+

3

=

0

a

=

9

a

=−

3

3

3x

=

3

2

3

3x

=−

3

3

x

=

2

x

=

tidak ada

x

=

2

3

21. E

(

2− 6 5

)

3 =2−

18 5= 1

2 18

5 = 1

23 3 5

= 1 23×2

3 5

=1 8×

1 5

(6)

23. A

10

5

5

=

10

5

5

5

=

10

5

1

=

2

1

=−

1

+

2

24. D

5

3

2

3

=

5

3

2

3

×

3

2

+

3

3

2

+

3

=

5

(

3

2

+

3

)

(

3

2

)

2

(

3

)

2

=

15

2

+

5

3

18

3

=

15

2

+

5

3

15

=

15

2

15

+

5

3

15

=

2

+

3

3

=

2

+

1

3

3

25. A

18

+

50

72

=

9

2

+

25

2

36

2

=

3

2

+

5

2

6

2

=

2

2

26. A

31

+

936

21

416

=

31

+

4

×

234

21

4

×

104

=

31

+

2

234

21

2

104

=

(

18

+

13

)

+

2

(

18

×

13

)

(

13

+

8

)

2

(

13

×

8

)

=

(

18

+

13

)

(

13

8

)

=

18

+

8

=

9

×

2

+

4

×

2

=

3

2

+

2

2

=

5

2

27. B

2

3

2

+

3

=

2

3

2

+

3

×

2

3

2

3

=

(

2

)

2

2

(

2

) (

3

)

+

(

3

)

2

(

2

)

2

(

3

)

2

=

2

2

6

+

3

2

3

=

5

2

6

1

=−

5

+

2

6

a

=−

5

b

=

2

a

+

b

=−

5

+

2

=−

3

28. A

m

n

a

p

=

(

n

a

p

)

1

m

=

(

(

a

p

)

1

n

)

1

m

=

a

(7)

(

m

7

2

)(

m

+

7

2

)

=

m

2

(

7

2

)

2

=

m

2

98

=

(

18

+

80

)

2

98

=

(

9

2

+

16

5

)

2

98

=

(

3

2

+

4

5

)

2

98

=

(

3

2

)

2

+

2

(

3

2

)(

4

5

)

+

(

4

5

)

2

98

=

18

+

24

10

+

80

98

=

24

10

30. C

2

8

+

18

+

1

4

32

+

200

=

2

4

2

+

9

2

+

1

4

16

2

+

100

2

=

4

2

+

3

2

+

2

+

10

2

=

18

2

31. C

3

49

3

49

3

49

3√

⋯=

a

49

3

49

3

49

3√

⋯=

a

3

49

a

=

a

3

49

=

a

2

7

=

a

32. D

3

24

2

18

2

=

3

24

2

2

18

2

=−

3

24

2

+

2

18

2

=−

3

12

+

2

9

=−

3

4

3

+

2

3

=−

6

3

+

6

33. D

(

5

+

2

)

x

=

(

5

+

2

)

2

+

(

5

2

)

2

=

(

25

+

10

2

+

2

)

+

(

25

10

2

+

2

)

=

25

+

25

+

10

2

10

2

+

2

+

2

=

54

=

9

×

6

=

3

6

(

5

2

)

Keliling =

(

5

+

2

)

+

(

5

2

)

+

3

6

=

10

+

3

6

cm 34. E

L=4πr2

L

=

4

π

(

2

2

+

6

)

2

(8)

35. B

f (x+3)

f (x−1)=

2x+3 2x−1=

2x⋅23 2x 21

=2x⋅23×2

1

2x=2

321=24=f(4)

36. D

(

3

3

x−2

)

2

=

3

1

9

(

3

2

3

2(x−2)

)

=

(

1

9

)

1 3

3

2

3

2x−4

=

(

3

−2

)

1 3

3

2−2x+4

=

3

2 3

6

2

x

=−

2

3

18

6

x

=−

2

6

x

=−

20

x

=

20

6

=

10

3

37. B

3

x+3

=

5

27

x−5

3

x+3

=

(

27

x−5

)

1 5

3

x+3

=

3

3(x−5)× 1 5

3

x+3

=

3

3 5(x−5)

x

+

3

=

3

5

(

x

5

)

5

x

+

15

=

3

x

15

5

x

3

x

=−

15

15

2

x

=−

30

(9)

(

0,25

)

x+4=

82x−5

(

1 4

)

x+4

=

(

82x−5

)

1 2

(

4−1

)

x+4=

(

23(2x−5)

)

1 2

2−2(x+4)=

(

26x−15

)

1 2

2−2x−8=23x

15 2

−2x−8=3x−15

2

−4x−16=6x−15

−4x−6x=−15+16

−10x=1

x=−1

10=−0,1

39. A

108

2

3

27

=

36

×

3

(

2

3

27

×

3

+

27

3

+

27

)

=

6

3

(

6

+

2

27

9

27

)

=

6

3

(

6

+

2

27

18

)

=

6

3

(

6

18

+

2

27

18

)

=

6

3

+

1

3

+

1

9

9

3

=

6

3

+

1

3

+

1

9

9

3

=

6

3

+

1

3

+

1

3

3

=

19

3

+

1

3

40. C

(

3p−2q3

)

−2

(

32p−1q2

)

−3=

(

32p−1q2

)

3

(

3p−2q3

)

2=

32×3p−1×3q2×3 31×2p−2×2q3×2=

36p−3q6 32p−4q6=3

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