Evaluate 343^(2/3)

$343^{\frac{2}{3}}$

Step 1

Simplify the expression.

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

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

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

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

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$7^{2}$

Step 3

Raise $7$ to the power of $2$ .

$49$