6 pangkat 4 × 15 pangkat -3 dibagi 12 pangkat -2
Matematika
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Pertanyaan
6 pangkat 4 × 15 pangkat -3 dibagi 12 pangkat -2
2 Jawaban
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1. Jawaban fahirajihan030
6^4 : 1/15^3 ×12^2
6^4/15^3 ×12^2
1296/3375 × 144
=55,296 -
2. Jawaban chenle
[tex] {6}^{4} \times {15}^{ - 3} \div {12}^{ - 2} \\ \\ = {(2 \times 3)}^{4} \times {(5 \times 3)}^{ - 3} \div {( {2}^{2} \times 3)}^{ - 2} \\ \\ = {2}^{4} \times {3}^{4} \times {5}^{ - 3} \times {3}^{ - 3} \div ({2}^{ - 4} \times {3}^{ - 2} ) \\ \\ = {2}^{4 - ( - 4)} \times {3}^{4 + ( - 3) - ( - 2)} \times {5}^{ - 3} \\ \\ = {2}^{8} \times {3}^{3} \times {5}^{ - 3} \\ \\ = 256 \times 27 \times 0,008 \\ \\ = 55,296[/tex]
jawabannya 55,296.