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Created on: 2012-02-20

Algebra : Expand

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Command

Expand

Expression

10^-2*x^-2*y^5*z^-3/2^-3*x^2*y^-3*z^-4

  1. A product that consists of 4 factors. The 1st factor of the product is equal to a rational expression: the top of the rational expression is a product comprising 4 factors. The 1st factor of the product is a power. The base is ten. The exponent is negative two. The 2nd factor of the product is a power. The base is x. The exponent is negative two. The 3rd factor of the product is equal to a power. The base is y. The exponent is five. The 4th factor of the product is a power. The base is z. The exponent is negative three. The bottom of the rational expression is a power. The base is two. The exponent is negative three. The 2nd factor of the product is a power. The base is x. The exponent is two. The 3rd factor of the product is a power. The base is y. The exponent is negative three. The 4th factor of the product is a power. The base is z. The exponent is negative four.
  2. ten to the power negative two multiplied by x to the power negative two times y raised to the power five multiplied by z to the power negative three over two raised to the power of negative three times x raised to the power two times y to the power negative three multiplied by z raised to the power of negative four;

Result

2*y^2/(25*z^7)

  1. A rational expression: the top of the rational expression is a product comprising 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to a power. The base is y. The exponent is two. The bottom of the rational expression is a product that comprises 2 factors. The 1st factor of the product is equal to twenty five. The 2nd factor of the product is a power. The base is z. The exponent is seven.
  2. two times y to the power of two over twenty five multiplied by z to the power seven;



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