To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{16\sqrt{49}}{8\sqrt{7}} \)
\( \frac{16}{8} \) \( \sqrt{\frac{49}{7}} \)
2 \( \sqrt{7} \)

If 54% of the town's 10,000 voters cast ballots the number of votes cast is:

(\( \frac{54}{100} \)) x 10,000 = \( \frac{540,000}{100} \) = 5,400

The mayor got 76% of the votes cast which is:

(\( \frac{76}{100} \)) x 5,400 = \( \frac{410,400}{100} \) = 4,104 votes.

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{4!}{2!} \)
\( \frac{4 \times 3 \times 2 \times 1}{2 \times 1} \)
\( \frac{4 \times 3}{1} \)
\( 4 \times 3 \)
12

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{16}{9}} \)
\( \frac{\sqrt{16}}{\sqrt{9}} \)
\( \frac{\sqrt{4^2}}{\sqrt{3^2}} \)
\( \frac{4}{3} \)
1\(\frac{1}{3}\)

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.