(-2)^(4/3) — step-by-step solution

Let's calculate:

{(-2)}^{\frac{4}{3}}

ⓘ For a reduced rational exponent m/n with odd n, use the real root: the result is negative for odd m and positive for even m:

{(-2)}^{\frac{4}{3}}

2^{\frac{4}{3}}

2^{\frac{4}{3}}

ⓘ Split the exponent into its integer part and a remainder: a sum of exponents gives a product of powers, and an exponent m/n is the root of order n of the power m:

2^{\frac{4}{3}}

2^{1 + \frac{1}{3}}

2^{1} \times 2^{\frac{1}{3}}

2 \times \sqrt[3]{2}

▶Result:

2 \times \sqrt[3]{2}

The numeric value of:

2 \times \sqrt[3]{2}

equals:

2 \times \approx 1.2599

▷

\approx 2.5198