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:

\( \frac{-8c^9}{2c^2} \)
\( \frac{-8}{2} \) c^{(9 - 2)}
-4c⁷

By buying two shirts, Frank will save $31 x \( \frac{50}{100} \) = \( \frac{$31 x 50}{100} \) = \( \frac{$1550}{100} \) = $15.50 on the second shirt.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-4b⁵ + 1b⁵
(-4 + 1)b⁵
-3b⁵

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 $1,200
i = 0.05 x $1,200
i = $60

The hourly error rate for this machine is the error rate in parts per 100 multiplied by the number of parts produced per hour:

\( \frac{3}{100} \) x 8 = \( \frac{3 \times 8}{100} \) = \( \frac{24}{100} \) = 0.24 errors per hour

So, in an average hour, the machine will produce 8 - 0.24 = 7.76 error free parts.

The machine ran for 24 - 9 = 15 hours yesterday so you would expect that 15 x 7.76 = 116.4 error free parts were produced yesterday.