Simplify -36^(1/2)

$- 36^{\frac{1}{2}}$

Step 1

Simplify the expression.

Rewrite $36$ as $6^{2}$ .

$- {(6^{2})}^{\frac{1}{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- 6^{2 (\frac{1}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$- 6^{2 (\frac{1}{2})}$

Rewrite the expression.

$- 6^{1}$

Step 3

Multiply.

Evaluate the exponent.

$- 1 \cdot 6$

Multiply $- 1$ by $6$ .

$- 6$