Question

Which expression is the simplest form of...

Answer 1

Answer:

The answer is option A

Step-by-step explanation:

$( {x}^{ - \frac{4}{7} } )^{7}$

Using the rules of indices

That's

$( { {a}^{x} })^{y} = {a}^{x \times y}$

Simplify the expression

We have

$( { {x}^{ - \frac{4}{7} } })^{7} = {x}^{ - \frac{4}{7} \times 7 } \\ = {x}^{ - 4}$

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

Answer 2

The answer is the first one