Which expression is equivalent to (look at picture)

Question

asked Jan 21, 2020 125k views

2 Answers

Ye Lin Aung · Answer 1 · 2020-01-27T23:45:13+0000

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