4/2^(2/3) — step-by-step solution

Let's evaluate:

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

ⓘ Dividing powers with the same base subtracts the exponents:

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

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

2^{2 - \frac{2}{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