Question

Which expression is the simplest form of...

Answer 1

The answer is the first one

Answer 2

The answer is option A

Explanation:

`( {x}^{ - (4)/(7) } )^(7)`

Using the rules of indices

That's

`( { {a}^(x) })^(y) = {a}^(x * y)`

Simplify the expression

We have

`( { {x}^{ - (4)/(7) } })^(7) = {x}^{ - (4)/(7) * 7 } \\ = {x}^( - 4)`

Again using the rules of indices

That's

`{x}^( - y) = \frac{1}{ {x}^(y) }`

The final answer is

`\frac{1}{ {x}^(4) }`

Hope this helps you