Question

Which expression is equivalent to

Answer 1

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