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 :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :

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

Dividing exponential expressions :

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

Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8

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