To simplify a radical, factor out the perfect squares:

\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)

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

If a single cook can bake 4 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 4 x 3 = 12 large cakes during that time. 28 large cakes are needed for the party so \( \frac{28}{12} \) = 2\(\frac{1}{3}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 19 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 19 x 3 = 57 small cakes during that time. 250 small cakes are needed for the party so \( \frac{250}{57} \) = 4\(\frac{22}{57}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 5 = 8 cooks.

The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (2 + 3) ÷ 5 x 2 - 3²
P: 2 + (5) ÷ 5 x 2 - 3²
E: 2 + 5 ÷ 5 x 2 - 9
MD: 2 + \( \frac{5}{5} \) x 2 - 9
MD: 2 + \( \frac{10}{5} \) - 9
AS: \( \frac{10}{5} \) + \( \frac{10}{5} \) - 9
AS: \( \frac{20}{5} \) - 9
AS: \( \frac{20 - 45}{5} \)
\( \frac{-25}{5} \)
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