Question

Could someone help me with this?

Answer 1

`\longrightarrow{\green{ a) \:16,777,216 }}`

`\longrightarrow{\green{ b)\: 279,936 }}`

`\longrightarrow{\green{ c) \: 32,768 }}`

`\longrightarrow{\green{ d) \:49 }}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

a)

`{4}^(9) * {4}^(3) \\ = {4}^(9 + 3) \\ = {4}^(12) \\ =\:16,777,216`

b)

`{6}^(5) * {6}^(2) \\ = {6}^(5 + 2) \\ = {6}^(7)\\=\: 279,936`

c)

`{8}^(6) / {8}^(1) \\ = {8}^(6 - 1) \\ = {8}^(5) \\=\:32,768`

d)

`{7}^(8) / {7}^(6) \\ = {7}^(8 - 6) \\ = {7}^(2)\\=49`

Note:-

`{a}^(m) * {a}^(n) = {a}^(m + n) \\ {a}^(m) / {a}^(n) = {a}^(m - n)`

`\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}`

Answer 2

1.16777216

2.279936

3.32768

4.49