Solve sqrt[3]{{left(38.32*2.964/8.637*6.285right)}^2}

$$\sqrt[ 3 ]{ { \left( \frac{ 38.32 \cdot 2.964 }{ 8.637 \cdot 6.285 } \right) }^{ 2 } }$$

Evaluate

$$\frac{16\sqrt[3]{3618903}\times 118313^{\frac{2}{3}}}{3618903}\approx 1.635900928$$

Solution Steps

Multiply 38.32 and 2.964 to get 113.58048.

$$\sqrt[3]{\left(\frac{113.58048}{8.637\times 6.285}\right)^{2}}$$

Multiply 8.637 and 6.285 to get 54.283545.

$$\sqrt[3]{\left(\frac{113.58048}{54.283545}\right)^{2}}$$

Expand \frac{113.58048}{54.283545} by multiplying both numerator and the denominator by 1000000.

$$\sqrt[3]{\left(\frac{113580480}{54283545}\right)^{2}}$$

Reduce the fraction \frac{113580480}{54283545} to lowest terms by extracting and canceling out 15.

$$\sqrt[3]{\left(\frac{7572032}{3618903}\right)^{2}}$$

Calculate \frac{7572032}{3618903} to the power of 2 and get \frac{57335668609024}{13096458923409}.

$$\sqrt[3]{\frac{57335668609024}{13096458923409}}$$