a.
[tex] {( \frac{7}{2}) }^{8} \div {( \frac{7}{2}) }^{10} = {( \frac{7}{2} )}^{8 - 10} = {( \frac{7}{2} })^{2} = \frac{ {7}^{2} }{ {2}^{2} } = \frac{49}{4} [/tex]
b.
[tex] ({ {( \frac{1}{2} })^{ - 2} })^{3} = {( \frac{1}{2} })^{ - 2 \times 3} = {( \frac{1}{2} })^{ - 6} = {2}^{6} = 64[/tex]
c.
[tex] {(7 \times 5)}^{3} = {35}^{3} [/tex]
d.
[tex] {( \frac{1}{2} })^{ - 6} \times {( \frac{1}{2} )}^{ 5} = {( \frac{1}{2}) }^{ - 6 + 5} = {( \frac{1}{2}) }^{ -1} = 2[/tex]
