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:

3x² x x³
(3 x 1)x^{(2 + 3)}
3x⁵

The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{26}{8} \) - \( \frac{6}{8} \)) cups
\( \frac{20}{8} \) cups
2\(\frac{1}{2}\) cups

To simplify this fraction, first find the greatest common factor between them. The factors of 16 are [1, 2, 4, 8, 16] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{16}{52} \) = \( \frac{\frac{16}{4}}{\frac{52}{4}} \) = \( \frac{4}{13} \)

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 55% the radius (and, consequently, the total area) increases by \( \frac{55\text{%}}{2} \) = 27\(\frac{1}{2}\)%

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 3 + 10 + 4}{4} \) = \( \frac{28}{4} \) = 7