Evaluate -49^(3/2)

$- 49^{\frac{3}{2}}$

Step 1

Simplify the expression.

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

$- {(7^{2})}^{\frac{3}{2}}$

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

$- 7^{2 (\frac{3}{2})}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$- 7^{2 (\frac{3}{2})}$

Rewrite the expression.

$- 7^{3}$

Step 3

Simplify the expression.

Raise $7$ to the power of $3$ .

$- 1 \cdot 343$

Multiply $- 1$ by $343$ .

$- 343$