Simplifying Rational Expressions

Remember, first make the exponent positive before you evaluate a number raised to a negative exponent (7) 2 1 3 2 6 1 x x x x x x x x x x x x x x 1 1 6 3 3 6 6 3 6 3 3 6 1 4 2 1 3 1 2 Here, a common denominator for all the fractional exponents is found, the numerator is simplified, and then the subtraction rule is used The final answer has a

Section 36: Rational Exponents - Community College of

denominator as the index Example 2 Rewrite using radical notation 5 aa 3 ()3 5 2 (2 ) ( 2 )mn mn 7 7 2 4 5 5 4 1 x x 2 9 9 2 1 () xy xy Exponent is numerator; index is denominator Negative exponent means reciprocals The ability to change between exponential expressions and radical expressions allows us to evaluate expressions we had no means

Rational Chapter 9 - NCERT

Numerator and Denominator In p q, the integer p is the numerator , and the integer q (≠ 0) is the denominator Thus, in 3 7 −, the numerator is – 3 and the denominator is 7 Mention five rational numbers each of whose (a) Numerator is a negative integer and denominator is a positive integer

Part IV: Benefit-Cost Analysis

If you have a negative ratio, in which the program doesn’t save more than it costs, you can’t easily determine whether the negative ratio comes from a negative numerator or a negative denominator A negative numerator would mean that benefits are listed as “negative costs ” A negative denominator

Formulas for Exponent and Radicals - Northeastern University

Negative exponents ip location: A negative exponent in the numerator moves to the denominator And a negative exponent in the denominator moves to the numerator Method 6st 4 2s 2t2 = 6ss2 2t4t2 = 3s3 t6 j) Simplify y 3z3 2 (give answer with only positive exponents ) A Negative exponent ’ ips’ the fraction Method y 3z3 2 = 3z3 y 2 = 9z6 y2 4

LIMITS AT INFINITY

Suppose x is large and negative, then and So, for large positive values of x 4x and 2x are still behavior models for the function, but the numerator and denominator will both be negative now So, for large positive values of x EX 2 Graph EX 2 Graph Then, while