addition, subtraction, multiplication and division of two rational numbers,. The product (multiplication) of two rational numbers r1 = a1/b1 and r2 = a2/b2 is r1 * r2 = (a1 * a2) / (b1 * b2).ĭividing a rational number r1 = a1/b1 by another r2 = a2/b2 is r1 / r2 = (a1 * b2) / (a2 * b1) if a2 * b1 is not zero.Įxponentiation of a rational number r = a/b to a non-negative integer power n is r^n = (a^n)/(b^n).Įxponentiation of a rational number r = a/b to a negative integer power n is r^n = (b^m)/(a^m), where m = |n|.Įxponentiation of a rational number r = a/b to a real (floating-point) number x is the quotient (a^x)/(b^x), which is a real number.Įxponentiation of a real number x to a rational number r = a/b is x^(a/b) = root(x^a, b), where root(p, q) is the qth root of p. 
The difference of two rational numbers r1 = a1/b1 and r2 = a2/b2 is r1 - r2 = a1/b1 - a2/b2 = (a1 * b2 - a2 * b1) / (b1 * b2). The absolute value |r| of the rational number r = a/b is equal to |a|/|b|. A rational number is defined as the quotient of two integers a and b, called the numerator and denominator, respectively, where b != 0.
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