[tex]\longrightarrow{\green{ a) \:16,777,216 }}[/tex]
[tex]\longrightarrow{\green{ b)\: 279,936 }}[/tex]
[tex]\longrightarrow{\green{ c) \: 32,768 }}[/tex]
[tex]\longrightarrow{\green{ d) \:49 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
a)
[tex] {4}^{9} \times {4}^{3} \\ = {4}^{9 + 3} \\ = {4}^{12} \\ =\:16,777,216[/tex]
b)
[tex] {6}^{5} \times {6}^{2} \\ = {6}^{5 + 2} \\ = {6}^{7}\\=\: 279,936[/tex]
c)
[tex] {8}^{6} \div {8}^{1} \\ = {8}^{6 - 1} \\ = {8}^{5} \\=\:32,768[/tex]
d)
[tex] {7}^{8} \div {7}^{6} \\ = {7}^{8 - 6} \\ = {7}^{2}\\=49 [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
