SOAL A.
[tex]32 \times 36 = {2}^{5} \times ( {2}^{2} \times {3}^{2} ) = {2}^{5 + 2} \times {3}^{2} = {2}^{7} \times {3}^{2} [/tex]
SOAL B.
[tex] {( - 2)}^{2} \times ( - 2) = {( - 2)}^{2 + 1} = {( - 2)}^{3} [/tex]
SOAL C.
[tex] {3}^{3} \times {3}^{4} = {3}^{3 + 4} = {3}^{7} [/tex]
SOAL D.
[tex] {( - 3)}^{3} \times {( - 3)}^{ - 5} = {( - 3)}^{3 + ( - 5)} = {( - 3)}^{ - 2} = \frac{1}{ {( - 3)}^{2} } [/tex]
SOAL E.
[tex]( - 4) \times ( - 4) = {( - 4)}^{1 + 1} = {( - 4)}^{2} [/tex]
Penjelasan dengan langkah-langkah:
Nomor A
[tex] = {3}^{2} \times {3}^{6} [/tex]
[tex] = {3}^{2 + 6} [/tex]
[tex] = {3}^{8} [/tex]
[tex] \: [/tex]
Nomor B
[tex] = ( - 4) \times ( - 4)[/tex]
[tex] = {( - 4)}^{1 + 1} [/tex]
[tex] = {( - 4)}^{2} \: \text{atau} \: {4}^{2} [/tex]
[tex] \: [/tex]
Nomor C
[tex] = {( - 2)}^{2} \times ( - 2)[/tex]
[tex] = {( - 2)}^{2 + 1} [/tex]
[tex] = {( - 2)}^{3} [/tex]
[tex] \: [/tex]
Nomor D
[tex] = {3}^{3} \times {3}^{4} [/tex]
[tex] = {3}^{3 + 4} [/tex]
[tex] = {3}^{7} [/tex]
[tex] \: [/tex]
Nomor E
[tex] = {( - 3)}^{3} \times {( - 3)}^{ - 5} [/tex]
[tex] = {( - 3)}^{3 + ( - 5)} [/tex]
[tex] = {( - 3)}^{ - 2} [/tex]
[tex] = \frac{1}{ {( - 3)}^{2} } \: \text{atau} \: \frac{1}{ {3}^{2} } \: \text{atau} \: {( \frac{1}{3} )}^{2} [/tex]
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