Sederhanakan. 2^(5)*3^(5)*4(2)/12^(2)=.... Question from @febryarifin969

febryarifin969 @febryarifin969

August 2018 2 14 Report

Sederhanakan.
2^(5)*3^(5)*4(2)/12^(2)=...

21dzz 2^5 x 3^5 x 2^4 / (4x3)^2
= 2^9 x 3^5 / 4^2 x 3^2
= 2^9 x 3^5 / 2^4 x 3^2
= 2^9 x 3^5 x 2^-4 x 3^-2
= 2^5 x 3^3

13 votes Thanks 11

febryarifin969 makasih atas jawabannya.

rirismaulidina $a^n\times a^m=a^{n+m} \\ \frac{a^n}{a^m}=a^{n-m} \\ (a^n)^m=a^{n\times m} \\ (a\times b)^n=a^n\times b^n\\ \\ \frac{2^5\times 3^5\times 4^2 }{12^2} \\ \\ = \frac{2^5\times 3^5\times (2^2)^2 }{(3\times 4)^2} \\ \\ =\frac{2^5\times 3^5\times (2^2)^2 }{3^2\times (2^2)^2} \\ \\ =\frac{2^5\times 3^5\times 2^4 }{3^2\times 2^4}=2^{(5+4-4)}\times 3^{(5-2)}=2^5\times 3^3$

9 votes Thanks 12

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