To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{5} \) x \( \frac{1}{7} \) = \( \frac{2 x 1}{5 x 7} \) = \( \frac{2}{35} \) = \(\frac{2}{35}\)

The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 the greatest factor 40 and 68 have in common.

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

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 = \( \frac{315mi}{35mph} \)
9 hours

To raise a term with an exponent to another exponent, retain the base and multiply the exponents: