2. 5⁶/5² =
3. (2³ x 2⁴) ² =
Bantu Jawab dong Kka:(( butuh bgt ak:'((
Penjelasan dengan langkah-langkah:
[tex]1. \: {6}^{2} \times {7}^{4} \times {6}^{3} \times {7}^{6} = \\ {6}^{2 + 3} \times {7}^{4 + 6} = \\ {6}^{5} \times {7}^{10} [/tex]
[tex]2. \: \frac{ {5}^{6} }{ {5}^{2} } = {5}^{6 - 2} = {5}^{4} [/tex]
[tex]3. \: ({{2}^{3} \times {2}^{4}})^{2} = \\ ( { {2}^{3 + 4} })^{2} = \\ ({ {2}^{7} })^{2} = \\ {2}^{14} [/tex]
Penjelasan dengan langkah-langkah:
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Perkalian bentuk pangkat
[tex]\boxed{a^m \times a^n = a^{m + n}}[/tex]
Pembagian bentuk pangkat
[tex]\boxed{a^m \div a^n = a^{m - n}}[/tex]
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Soal no. 1
[tex]\sf 6^2 \times 7^4 \times 6^3 \times 7^6[/tex]
[tex]= \sf 6^{2 + 3} \times 7^{4 + 6}[/tex]
[tex]= \sf 6^5 \times 7^{10}[/tex]
[tex]= \sf 6^5 \times 7^5 \times 7^5[/tex]
[tex]= \sf (6 \times 7)^5 \times 7^5[/tex]
[tex]= \sf 42^5 \times 7^5[/tex]
[tex]= \sf (42 \times 7)^5[/tex]
[tex]= \sf 294^5[/tex]
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Soal no. 2
[tex]\sf \dfrac{5^6}{5^2}[/tex]
[tex]= \sf 5^{6 - 2}[/tex]
[tex]= \sf 5^4[/tex]
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Soal no. 3
[tex]\sf (2^3 \times 2^4)^2[/tex]
[tex]= \sf (2^{3 + 4})^2[/tex]
[tex]= \sf (2^7)^2[/tex]
[tex]= \sf 2^{7 \times 2}[/tex]
[tex]= \sf 2^{14}[/tex]
