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:

3y⁶ x 8y⁶
(3 x 8)y^{(6 + 6)}
24y¹²

To simplify a radical, factor out the perfect squares:

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

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.

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

2\( \sqrt{12} \) + 3\( \sqrt{3} \)
2\( \sqrt{4 \times 3} \) + 3\( \sqrt{3} \)
2\( \sqrt{2^2 \times 3} \) + 3\( \sqrt{3} \)
(2)(2)\( \sqrt{3} \) + 3\( \sqrt{3} \)
4\( \sqrt{3} \) + 3\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

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

Solving for time:

time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{280mi}{35mph} \)
8 hours