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

User Yordan Nikolov
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1 Answer

23 votes
23 votes

Step-by-step explanation:

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

I hope this helps.

User Piotr Perak
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3.5k points