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Simplifying complex fractions with exponents

How do you simplify complex fractions with exponents?

Examples of simplifying complex fractions with exponents

Problem : Simplify the complex fractions with exponents

10a9/33b10
10a7/3b14

Solution.

1. Rewrite the fraction as a division.

10a9/33b10 = 
10a7/3b14
10a9 ÷ 10a7
33b103b14

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

10a9 ÷ 10a7 = 
33b103b14
10a9 * 3b14 = 
33b1010a7
10a9 * 3b14 = 
33b10 * 10a7
10a7 * a2 * 3b10 * b4 = 
11 * 3b10 * 10a7
 10a7 *a2 * 3b10 * b4 = 
11 * 3b10 * 10a7 
a2b4
11

3. The answer is

10a9/33b10 =  = a2b4
10a7/3b1411

The problem is solved.