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g100num [7]
3 years ago
14

Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4

Mathematics
2 answers:
never [62]3 years ago
7 0
54x^9y^17 ez ez ez ez ez ez
Semenov [28]3 years ago
6 0
Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span><span> (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span><span> ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 </span><span> Step  3  :</span><span> 33x6y12 Simplify ———————— 24x12y20 </span></span>Dividing exponential expressions :

<span> 3.1 </span>  <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span>  <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step  3  :</span><span> 27 4 • —————— 16x6y8 </span><span>Step  4  :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>
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