Which expression is equivalent to

Question

asked Dec 19, 2020 54.8k views

1 Answer

Jake Long · Answer 1 · 2020-12-25T16:10:57+0000

For this case we must indicate an expression equivalent to:

$x ^ {- \frac {5} {3}}$

By definition of power properties we have to:

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

Then, we can rewrite the expression as:

$\frac {1} {x ^ {\frac {5} {3}}}$

We also have that by definition of properties of powers it is fulfilled that:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

Then, the expression is like:

$\frac {1} {\sqrt [3] {x ^ 5}}$

ANswer:

Option B