Answer:
The answer is option A
Step-by-step explanation:
[tex]( {x}^{ - \frac{4}{7} } )^{7} [/tex]
Using the rules of indices
That's
[tex]( { {a}^{x} })^{y} = {a}^{x \times y} [/tex]
Simplify the expression
We have
[tex]( { {x}^{ - \frac{4}{7} } })^{7} = {x}^{ - \frac{4}{7} \times 7 } \\ = {x}^{ - 4} [/tex]
Again using the rules of indices
That's
[tex] {x}^{ - y} = \frac{1}{ {x}^{y} } [/tex]
The final answer is
[tex] \frac{1}{ {x}^{4} } [/tex]
Hope this helps you
