To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{b^8}{7b^3} \)
\( \frac{1}{7} \) b^{(8 - 3)}
\(\frac{1}{7}\)b⁵

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 44 have in common.

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

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

5\( \sqrt{80} \) + 5\( \sqrt{5} \)
5\( \sqrt{16 \times 5} \) + 5\( \sqrt{5} \)
5\( \sqrt{4^2 \times 5} \) + 5\( \sqrt{5} \)
(5)(4)\( \sqrt{5} \) + 5\( \sqrt{5} \)
20\( \sqrt{5} \) + 5\( \sqrt{5} \)

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