a)
[tex]{8}^{3} \times {8}^{7} \times {8}^{5} = {8}^{15} [/tex]
b)
[tex] {9}^{3} \times {5}^{3} \times 1 {8}^{3} = (9 \times 5 \times 18 {)}^{3} = {810}^{3} [/tex]
c)
[tex] {2}^{3} \times {8}^{3} \times {64}^{5} = {2}^{3} \times ( {2}^{3} ) ^{3} \times ( {2}^{6} {)}^{5} = {2}^{3} \times {2}^{9} \times {2}^{30} = {2}^{42} [/tex]
d)
[tex] {18}^{2} \times {7}^{2} = (18 \times 7 {)}^{2} = {126}^{2} [/tex]
e)
[tex] {3}^{3} \times {27}^{3} \times {81}^{4} = {3}^{3} \times ({3}^{3} {)}^{3} \times ({3}^{4} {)}^{4} = {3}^{3} \times {3}^{9} \times {3}^{16} = {3}^{28} [/tex]
f)
[tex] {2}^{5} \times {2}^{16} \times {512}^{2} = {2}^{21} \times {2}^{9} = {2}^{30} [/tex]
g)
[tex] {7}^{3} \times {49}^{2} = {7}^{3} \times ( {7}^{2} {)}^{2} = {7}^{3} \times {7}^{4} = {7}^{7} [/tex]
h)
[tex] {8}^{5} \times {1024}^{2} \div {2}^{17} = ({2}^{3} {)}^{5} \times ( {2}^{10} {)}^{2} \div {2}^{17} = {2}^{15} \times {2}^{20} \div {2}^{17} = {2}^{35} \div {2}^{17} = {2}^{18} [/tex]
i)
[tex] {3}^{2} \times {9}^{27} \times {81}^{5} = {3}^{2} \times ({3}^{2} {)}^{27} \times ({3}^{4} {)}^{5} = {3}^{2} \times {3}^{54} \times {3}^{20} = {3}^{76} [/tex]
