CAN SOMEONE EXPLAIN TO ME HOW TO SOLVE 8^15÷8^7×8

Question

asked Aug 2, 2023 29.7k views

1 Answer

Carl Poole · Answer 1 · 2023-08-08T17:12:00+0000

So, we are to solve:
${8}^(15) / {8}^(7) * 8$

Using the exponential rule of multiplication and division with the same bases, which are:

${a}^(m) * {a}^(n) = {a}^(m + n)$

and:

${a}^(m) / {a}^(n) = {a}^(m - n)$

Therefore:

${8}^(15) / {8}^(7) * {8}^(1) = {8}^(15 - 7 + 1)$

→
${8}^(9) = 134217728$

Therefore: 134217728 is the final answer