Solve sqrt[3]{2^31+2^33/10}

$$\sqrt[ 3 ] { \frac { 2 ^ { 31 } + 2 ^ { 33 } } { 10 } }$$

Evaluate

$$1024$$

Solution Steps

Calculate 2 to the power of 31 and get 2147483648.

$$\sqrt[3]{\frac{2147483648+2^{33}}{10}}$$

Calculate 2 to the power of 33 and get 8589934592.

$$\sqrt[3]{\frac{2147483648+8589934592}{10}}$$

Add 2147483648 and 8589934592 to get 10737418240.

$$\sqrt[3]{\frac{10737418240}{10}}$$

Divide 10737418240 by 10 to get 1073741824.

$$\sqrt[3]{1073741824}$$

Calculate \sqrt[3]{1073741824} and get 1024.

$$1024$$

Factor

$$2^{10}$$