The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

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

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

If 47% of the town's 41,000 voters cast ballots the number of votes cast is:

(\( \frac{47}{100} \)) x 41,000 = \( \frac{1,927,000}{100} \) = 19,270

The mayor got 61% of the votes cast which is:

(\( \frac{61}{100} \)) x 19,270 = \( \frac{1,175,470}{100} \) = 11,755 votes.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-6c⁷ x 9c⁷
(-6 x 9)c^{(7 + 7)}
-54c¹⁴