nilai dari (2^3 3^-4 5^-3)^-2 x (2^3 3^-2 5^-2)^3 adalah
Matematika
muratdelambreta
Pertanyaan
nilai dari (2^3 3^-4 5^-3)^-2 x (2^3 3^-2 5^-2)^3 adalah
1 Jawaban
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1. Jawaban therealcandra
[tex] = {( {2}^{3} {3}^{ - 4} {5}^{ - 3} )}^{ - 2} \times {( {2}^{3} {3}^{ - 2} {5}^{ - 2} )}^{3} \\ = {2}^{3 \times ( - 2)} {3}^{ - 4 \times ( - 2)} {5}^{ - 3 \times ( - 2)} \times {2}^{3 \times 3} {3}^{ - 2 \times 3} {5}^{ - 2 \times 3} \\ = {2}^{ - 6} {3}^{8} {5}^{6} \times {2}^{9} {3}^{ - 6} {5}^{ - 6} \\ = {2}^{ - 6 + 9} {3}^{8 - 6} {5}^{6 - 6} \\ = {2}^{3} {3}^{2} {5}^{0} \\ = 8 \times 9 \times 1 \\ = 72[/tex]