SBP-Program

f

tw

in

Simplifying complex fractions with negative exponents

How do you simplify complex fractions with negative exponents?

Example of simplifying complex fractions with negative exponents

Problem : Simplify the complex fractions with negative exponents

9a8/44b9
18a-6/11b-13

Solution.

1. Rewrite the fraction as a division.

9a8/44b9 = 
18a-6/11b-13
9a8 ÷ 18a-6
44b911b-13

2. Divide the two fractions.

To divide two fractions multiply the first fraction by the the reciprocal of the second fraction.

See Rules for dividing fractions.

We have

9a8 ÷ 18a-6 = 
44b911b-13
9a8 * 11b-13 = 
44b918a-6
9a8 * 11b-13 = 
11 * 4b9 * 9 * 2a-6
 9 a8 *  11 b-13 = 
 11  * 4b9 *  9  * 2a-6
a8 * b-13 = 
4b9 * 2a-6
a8 * a6 = 
4 * 2 * b9 * b13
a14
8b22

3. The answer is

9a8/44b9 = a14
18a-6/11b-138b22

The problem is solved.