Explanation:
So, we are to solve: [tex] {8}^{15} \div {8}^{7} \times 8[/tex]
Using the exponential rule of multiplication and division with the same bases, which are:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
and:
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
Therefore:
[tex] {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} [/tex]
→[tex] {8}^{9} = 134217728[/tex]
Therefore: 134217728 is the final answer
I hope this helps.
