Convert the mixed number into a fraction greater than one.

$\frac{16}{5}\left(\frac{7}{4}\right)$

$\frac{28}{5}=5\frac{3}{5}$

$- \frac{4}{5} = (-1)(4)\left(\frac{1}{5}\right)$

Notice that the $5$ in the denominator is like dividing by $5$.

$\frac{5^{\left(3\right)}}{5\left(-4\right)}$

$5^2(-4)=-100$

This can be rewritten as:

$2^{4}\left(\frac{5}{2^{3}}\right)$

See part (b).

$10$

Use the order of operations.

Use the order of operations.

$-\frac{5}{6}+\frac{1}{4}$

$-\frac{20}{24}+\frac{6}{24}=-\frac{14}{24}$

Notice that squaring a negative number has the same result as multiplying two negative numbers: the product is always positive.

Follow the order of operations.

$8^{(2-1)}(-7)-\frac{1}{2}$

$8(-7)-\frac{1}{2}$

$(-56)-\frac{1}{2}$

$-56\frac{1}{2}$