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sammy [17]
3 years ago
15

Sor-rey for posting again,I messed up on my last one...anyway,100 points and Brainlest! Please help ASAP!

Mathematics
1 answer:
Triss [41]3 years ago
6 0

The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3  after simplification will be

4 x^{6}  y^{-2}

Step-by-step explanation:

To simplify

\frac{4(2x^3 y^4 )^4}{2(2x^2 y^6 )^3} .

Using exponential law the exponents of variables will be added when multiplied as per rule

we get

\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\

\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16}  }{16 x^{6}y^{18}  }

Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule

(\frac{64}{16} ) x^{12-6}  y^{16-18} \\4 x^{6} y^{-2}

So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3  after simplification will be

4 x^{6}  y^{-2}

Keywords: Algebra

Learn more about algebra at:

  • brainly.com/question/3739260
  • brainly.com/question/13168205
  • brainly.com/question/9607945

#learnwithBrainly

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