Evaluate 1000^(4/3)

$1000^{\frac{4}{3}}$

Step 1

Simplify the expression.

Rewrite $1000$ as $10^{3}$ .

${(10^{3})}^{\frac{4}{3}}$

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

$10^{3 (\frac{4}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$10^{3 (\frac{4}{3})}$

Rewrite the expression.

$10^{4}$

Step 3

Raise $10$ to the power of $4$ .

$10000$