Question

18........................

Answer 1

d.
`13x^{(5)/(2)}`

Explanation:

The given expression is

`√(169x^5)`

We can rewrite this as

`√(169)* √(x^5)`

We rewrite as a rational exponent to obtain;

`(13^2)^{(1)/(2)}* (x^5)^{(1)/(2)}`

Recall that;

`(a^m)^n=a^(mn)`

`13^{(2* (1)/(2))}* (x)^{5* (1)/(2)}`

`13^1 (x)^{(5)/(2)}`

The correct choice is D

`13x^{(5)/(2)}`

Answer 2

D

Explanation:

We will use the radical property
`√(a*b) =√(a) √(b)` to simplify this.

The problem is
`√(169*x^5)`

We can simplify this as:

`√(169*x^5) \\=√(169) √(x^5)`

Now we can use the property of radicals,
`\sqrt[n]{x^a} =x^{(a)/(n)}` , to write as:

`√(169) √(x^5) \\13*x^{(5)/(2)}`

D is right answer.