Evaluate -343^(1/3)

$- 343^{\frac{1}{3}}$

Step 1

Simplify the expression.

Rewrite $343$ as $7^{3}$ .

$- {(7^{3})}^{\frac{1}{3}}$

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

$- 7^{3 (\frac{1}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$- 7^{3 (\frac{1}{3})}$

Rewrite the expression.

$- 7^{1}$

Step 3

Evaluate the exponent.

$- 1 \cdot 7$

Step 4

Multiply $- 1$ by $7$ .

$- 7$