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Which expression is equivalent to (look at picture)

Which expression is equivalent to (look at picture)-example-1

2 Answers

4 votes
2^-15

The answer is 1/2^15
User Goddy
by
7.9k points
3 votes

For this case we must indicate an expression equivalent to:


(2 ^ 3) ^ {-5}

By definition of power properties we have to:


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

We also have to:


a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the expression we have:


(2 ^ 3) ^ {-5} = 2 ^ {-15} = \frac {1} {2 ^ {15}}

Answer:

Option A

User Ye Lin Aung
by
8.3k points

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