If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 23 large cakes are needed for the party so \( \frac{23}{12} \) = 1\(\frac{11}{12}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 16 x 4 = 64 small cakes during that time. 340 small cakes are needed for the party so \( \frac{340}{64} \) = 5\(\frac{5}{16}\) 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 2 + 6 = 8 cooks.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

To subtract these radicals together their radicands must be the same:

5\( \sqrt{45} \) - 5\( \sqrt{5} \)
5\( \sqrt{9 \times 5} \) - 5\( \sqrt{5} \)
5\( \sqrt{3^2 \times 5} \) - 5\( \sqrt{5} \)
(5)(3)\( \sqrt{5} \) - 5\( \sqrt{5} \)
15\( \sqrt{5} \) - 5\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

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:

3,923,000 in scientific notation is 3.923 x 10⁶