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Created on: 2012-04-15

A sample problem solved by Quickmath online algebra calculator

assistance with joining a fraction; 2*7/9*3/4/3*1/8+3*1/3

Command

Simplify

Expression
p*g*(3*x+7*y)^3/p*g*(3*x+7*y)^6

  1. A product comprising 3 factors; the first factor of the product is a rational expression: the numerator of the rational expression is a product that consists of 3 factors; the first factor of the product is p; the second factor of the product is g; the third factor of the product is a power; the base is a sum containing 2 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is three; the second factor of the product is equal to x; the second term of the sum is equal to a product that contains 2 factors; the first factor of the product is equal to seven; the second factor of the product is equal to y; the exponent is three; the denominator of the rational expression is p; the second factor of the product is g; the third factor of the product is equal to a power; the base is a sum that comprises 2 terms; the first term of the sum is a product comprising 2 factors; the first factor of the product is equal to three; the second factor of the product is equal to x; the second term of the sum is equal to a product that contains 2 factors; the first factor of the product is equal to seven; the second factor of the product is equal to y; the exponent is six;
  2. p times g multiplied by opening bracket three multiplied by x plus seven times y closing bracket to the power three over p multiplied by g times left brace three times x plus seven multiplied by y right brace to the power of six;
Result
40353607*g^2*y^9+155649627*g^2*x*y^8+266827932*g^2*x^2*y^7+266827932*g^2*x^3*y^6+171532242*g^2*x^4*y^5+73513818*g^2*x^5*y^4+21003948*g^2*x^6*y^3+3857868*g^2*x^7*y^2+413343*g^2*x^8*y+19683*g^2*x^9

  1. A sum containing 10 terms. The first term of the sum is equal to a product of 3 factors. The first factor of the product is equal to forty million and three hundred and fifty three thousand and six hundred and seven. The second factor of the product is a power. The base is g. The exponent is two. The third factor of the product is a power. The base is y. The exponent is nine. The second term of the sum is equal to a product comprising 4 factors. The first factor of the product is one hundred fifty five million and six hundred and forty nine thousand and six hundred and twenty seven. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is equal to x. The four factor of the product is equal to a power. The base is y. The exponent is eight. The third term of the sum is equal to a product that consists of 4 factors. The first factor of the product is equal to two hundred and sixty six million and eight hundred and twenty seven thousand and nine hundred and thirty two. The second factor of the product is a power. The base is g. The exponent is two. The third factor of the product is equal to a power. The base is x. The exponent is two. The four factor of the product is equal to a power. The base is y. The exponent is seven. The four term of the sum is equal to a product containing 4 factors. The first factor of the product is two hundred and sixty six million and eight hundred and twenty seven thousand and nine hundred and thirty two. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is equal to a power. The base is x. The exponent is three. The four factor of the product is a power. The base is y. The exponent is six. The five term of the sum is a product consisting of 4 factors. The first factor of the product is equal to one hundred seventy one million and five hundred and thirty two thousand and two hundred and forty two. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is a power. The base is x. The exponent is four. The four factor of the product is a power. The base is y. The exponent is five. The six term of the sum is equal to a product containing 4 factors. The first factor of the product is seventy three million and five hundred and thirteen thousand and eight hundred and eighteen. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is a power. The base is x. The exponent is five. The four factor of the product is a power. The base is y. The exponent is four. The seven term of the sum is equal to a product that comprises 4 factors. The first factor of the product is twenty one million and three thousand and nine hundred and forty eight. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is equal to a power. The base is x. The exponent is six. The four factor of the product is a power. The base is y. The exponent is three. The eight term of the sum is equal to a product that comprises 4 factors. The first factor of the product is equal to three million and eight hundred and fifty seven thousand and eight hundred and sixty eight. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is a power. The base is x. The exponent is seven. The four factor of the product is a power. The base is y. The exponent is two. The nine term of the sum is equal to a product that contains 4 factors. The first factor of the product is equal to four hundred and thirteen thousand and three hundred and forty three. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is equal to a power. The base is x. The exponent is eight. The four factor of the product is equal to y. The ten term of the sum is equal to a product that contains 3 factors. The first factor of the product is equal to nineteen thousand and six hundred and eighty three. The second factor of the product is equal to a power. The base is g. The exponent is two. The third factor of the product is equal to a power. The base is x. The exponent is nine.
  2. forty million and three hundred and fifty three thousand and six hundred and seven times g raised to the power of two times y to the power of nine plus one hundred fifty five million and six hundred and forty nine thousand and six hundred and twenty seven times g to the power two multiplied by x times y to the power of eight plus two hundred and sixty six million and eight hundred and twenty seven thousand and nine hundred and thirty two times g to the power two multiplied by x to the power two multiplied by y to the power seven plus two hundred and sixty six million and eight hundred and twenty seven thousand and nine hundred and thirty two multiplied by g raised to the power of two times x to the power three multiplied by y raised to the power of six plus one hundred seventy one million and five hundred and thirty two thousand and two hundred and forty two times g to the power two multiplied by x exponentiated by four times y exponentiated by five plus seventy three million and five hundred and thirteen thousand and eight hundred and eighteen multiplied by g exponentiated by two multiplied by x exponentiated by five multiplied by y to the power of four plus twenty one million and three thousand and nine hundred and forty eight multiplied by g to the power of two multiplied by x raised to the power six multiplied by y exponentiated by three plus three million and eight hundred and fifty seven thousand and eight hundred and sixty eight multiplied by g raised to the power two multiplied by x to the power of seven times y raised to the power two plus four hundred and thirteen thousand and three hundred and forty three multiplied by g exponentiated by two multiplied by x to the power of eight multiplied by y plus nineteen thousand and six hundred and eighty three times g raised to the power two multiplied by x raised to the power of nine.