Question

Please someone should help me solve it 2x ÷ x^ - 4

Answer 1

The answer is

`{2x}^(5)`

Explanation:

`\frac{2x}{ {x}^( - 4) }`

First of all separate the two from the x

That's

`\frac{2(x)}{ {x}^( - 4) }`

Next we use the rules of indices

Since they have the same base and are dividing we subtract the exponents

That's

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

So we have

`\frac{2(x)}{ {x}^( - 4) } = 2( {x}^(1 - - 4)) = 2( {x}^(1 + 4) )`

We have the final answer as

`{2x}^(5)`

Hope this helps you