Nomor 3
a
[tex] = {2}^{3} \times {2}^{5} \times {2}^{2} [/tex]
[tex] = {2}^{3 + 5 + 2} [/tex]
[tex] = {2}^{10} [/tex]
[tex] = 1024[/tex]
b
[tex] = {3}^{2} \times {3}^{ - 3} \times {3}^{4} [/tex]
[tex] = {3}^{2 + ( - 3) + 4} [/tex]
[tex] = {3}^{3} [/tex]
[tex] = 27[/tex]
c
[tex] = {5}^{ - 2} \times {5}^{4} \times 25[/tex]
[tex] = {5}^{ - 2} \times {5}^{4} \times {5}^{2} [/tex]
[tex] = {5}^{ - 2 + 4 + 2} [/tex]
[tex] = {5}^{4} [/tex]
[tex] = 625[/tex]
_____________________________________
Nomor 4
[tex] = {2}^{4} \times {8}^{2} [/tex]
[tex] = {2}^{4} \times ( {2}^{3} ) {}^{2} [/tex]
[tex] = {2}^{4} \times {2}^{6} [/tex]
[tex] = {2}^{4 + 6} [/tex]
[tex] = {3}^{2} \times {27}^{3} [/tex]
[tex] = {3}^{2} \times ( {3}^{3} ) {}^{3} [/tex]
[tex] = {3 }^{2} \times {3}^{9} [/tex]
[tex] = {3}^{2 + 9} [/tex]
[tex] = {3}^{11} [/tex]
[tex] = 177147[/tex]
[tex] {3}^{n} = 27[/tex]
[tex] {3}^{n} = {3}^{3} [/tex]
[tex] { \cancel3}^{n} = { \cancel3}^{3} [/tex]
[tex]n = 3[/tex]
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Nomor 3
a
[tex] = {2}^{3} \times {2}^{5} \times {2}^{2} [/tex]
[tex] = {2}^{3 + 5 + 2} [/tex]
[tex] = {2}^{10} [/tex]
[tex] = 1024[/tex]
b
[tex] = {3}^{2} \times {3}^{ - 3} \times {3}^{4} [/tex]
[tex] = {3}^{2 + ( - 3) + 4} [/tex]
[tex] = {3}^{3} [/tex]
[tex] = 27[/tex]
c
[tex] = {5}^{ - 2} \times {5}^{4} \times 25[/tex]
[tex] = {5}^{ - 2} \times {5}^{4} \times {5}^{2} [/tex]
[tex] = {5}^{ - 2 + 4 + 2} [/tex]
[tex] = {5}^{4} [/tex]
[tex] = 625[/tex]
_____________________________________
Nomor 4
a
[tex] = {2}^{4} \times {8}^{2} [/tex]
[tex] = {2}^{4} \times ( {2}^{3} ) {}^{2} [/tex]
[tex] = {2}^{4} \times {2}^{6} [/tex]
[tex] = {2}^{4 + 6} [/tex]
[tex] = {2}^{10} [/tex]
[tex] = 1024[/tex]
b
[tex] = {3}^{2} \times {27}^{3} [/tex]
[tex] = {3}^{2} \times ( {3}^{3} ) {}^{3} [/tex]
[tex] = {3 }^{2} \times {3}^{9} [/tex]
[tex] = {3}^{2 + 9} [/tex]
[tex] = {3}^{11} [/tex]
[tex] = 177147[/tex]
c
[tex] {3}^{n} = 27[/tex]
[tex] {3}^{n} = {3}^{3} [/tex]
[tex] { \cancel3}^{n} = { \cancel3}^{3} [/tex]
[tex]n = 3[/tex]