Dikerjakan beserta caranya yaR? Big point

Dikerjakan beserta caranya yaR? Big point

Penyelesaian Soal !

3.a.

$frac{a^3times c^2}{(a^2 b)^2}\ =frac{2^3times 12^2}{2^2times 3^2}\ =frac{(2times12)^{3times2}}{(2times3)^{4times 2}}\ =frac{2^4times 3^2}{3^2}\ =2times 4\=8$

$frac{a^6times b^4times c^2}{(ab)^2times c^3}\=frac{2^6times 3^4times 12^2}{(2times 3)^2 times 12^3}\=frac{2^4times 3^2}{3} \=6times 2\=12$

$c.frac{(a^3times c ^2)^2}{(a^2times b)^2} times frac{b^3}{c^2}\ =frac{(2^3times 12 ^2)^2}{(2^2times 3)^2} times frac{3^3}{12^2}\=frac{8^2times 12^2times 3}{4}\ =16times 432\=6.912$

$a.(5x^2y)^3times x^4y^2\=25x^2y^3times 4x^2y\=25^3x^6y^3times x^4y^2\=25x^{10}y^5\=125x^{10}y^5$

$b.frac{(9a^3b)^3times ab^2}{3^2(a^4b^2)^2}\=frac{9^3a^3b^2times ab^2}{9(a^8b^4}\ =frac{3times 3(a^{4times 2})b^5}{a^8b^4} \=frac{9^2(a^{10}b^5)}{a^8b^4} \=81 a^frac{4}{2}b\ =81a^2b$

$c.(frac{(x^5y^4)}{x^2y^2})^5times frac{(xy^2)^3}{x^2y} \=frac{x^{5times5}y^{5times 4}}{x^{5times3}y^{5times2}} times =frac{(xy^2)^3}{x^2y}\=frac{x^{25}y^{20}}{x^{15}y^{10}} times frac{(xy^2)^3}{x^2y}\=frac{x^{28-26}y^{17-2}}{xy^{11}} \=x^{11}y^{15}$

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