A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0003887 in scientific notation is 3.887 x 10^-4

If 56% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{56}{100} \)) x 50,000 = \( \frac{2,800,000}{100} \) = 28,000

The mayor got 82% of the votes cast which is:

(\( \frac{82}{100} \)) x 28,000 = \( \frac{2,296,000}{100} \) = 22,960 votes.

The area of a circle is given by the formula A = πr² where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))². If the diameter of the logo increases by 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 65mph \times 8h \)
520 miles

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:

-4x⁷ x x⁵
(-4 x 1)x^{(7 + 5)}
-4x¹²