Answer:
The answer is
[tex] {2x}^{5} [/tex]
Step-by-step explanation:
[tex] \frac{2x}{ {x}^{ - 4} } [/tex]
First of all separate the two from the x
That's
[tex] \frac{2(x)}{ {x}^{ - 4} } [/tex]
Next we use the rules of indices
Since they have the same base and are dividing we subtract the exponents
That's
[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]
So we have
[tex] \frac{2(x)}{ {x}^{ - 4} } = 2( {x}^{1 - - 4)} = 2( {x}^{1 + 4} )[/tex]
We have the final answer as
[tex] {2x}^{5} [/tex]
Hope this helps you
