To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

The greatest common factor (GCF) is the greatest factor that divides two integers.

If 71% of the town's 29,000 voters cast ballots the number of votes cast is:

(\( \frac{71}{100} \)) x 29,000 = \( \frac{2,059,000}{100} \) = 20,590

The mayor got 88% of the votes cast which is:

(\( \frac{88}{100} \)) x 20,590 = \( \frac{1,811,920}{100} \) = 18,119 votes.

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{7\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 3