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Created on: 2012-03-26

A sample problem solved by Quickmath web math calculator

Command

Simplify

Expression
exp(1/x)*(x+1)/(x^2*exp(1/x))^2

  1. A rational expression: the numerator of the rational expression is a product that consists of 2 factors. The first factor of the product is exp of a fraction: the numerator of the fraction is one. The denominator of the fraction is x. The second factor of the product is a sum that contains 2 terms. The first term of the sum is equal to x. The second term of the sum is equal to one. The denominator of the rational expression is a power. The base is a product comprising 2 factors. The first factor of the product is equal to a power. The base is x. The exponent is two. The second factor of the product is equal to exp of a quotient: dividend of the quotient is one. Divisor of the quotient is x. The exponent is two.
  2. exp of one over x multiplied by open bracket x plus one close bracket fraction line opening bracket x raised to the power of two multiplied by exp of one fraction line x closing bracket raised to the power two.
Result
(x+1)*%e^-(1/x)/x^4

  1. A quotient: dividend of the quotient is a product containing 2 factors. The first factor of the product is equal to a sum that consists of 2 terms. The first term of the sum is x. The second term of the sum is equal to one. The second factor of the product is equal to a power. The base is e. The exponent is a negative fraction: the numerator of the fraction is one. The denominator of the fraction is x. Divisor of the quotient is a power. The base is x. The exponent is four.
  2. open brace x plus one close brace multiplied by e raised to the power negative opening parenthesis one over x closing parenthesis divided by x raised to the power four.