Simplify -( square root of 1)/( square root of 49)

$- \frac{\sqrt{1}}{\sqrt{49}}$

Step 1

Any root of $1$ is $1$ .

$- \frac{1}{\sqrt{49}}$

Step 2

Simplify the denominator.

Rewrite $49$ as $7^{2}$ .

$- \frac{1}{\sqrt{7^{2}}}$

Pull terms out from under the radical, assuming positive real numbers.

$- \frac{1}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{7}$

Decimal Form:

$- 0.\overline{142857}$