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

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [24, 48, 72, 96] making 24 the smallest multiple 8 and 12 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{2 x 3}{8 x 3} \) + \( \frac{8 x 2}{12 x 2} \)

\( \frac{6}{24} \) + \( \frac{16}{24} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{6 + 16}{24} \) = \( \frac{22}{24} \) = \(\frac{11}{12}\)

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,400
i = 0.05 x $1,400
i = $70

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

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.