Solve sqrt[3]{-27}+{left(4-16/2right)}^2.3-sqrt{28/-7+5}--2^6

$$\sqrt[ 3 ]{ -27 } + { \left(4- \frac{ 16 }{ 2 } \right) }^{ 2 } .3- \sqrt{ \frac{ 28 }{ -7 } +5 } - { -2 }^{ 6 }$$

Evaluate

$$-63.2$$

Solution Steps

Calculate \sqrt[3]{-27} and get -3.

$$-3+\left(4-\frac{16}{2}\right)^{2}\times 0.3-\sqrt{\frac{28}{-7}+5}-\left(-2\right)^{6}$$

Divide 16 by 2 to get 8.

$$-3+\left(4-8\right)^{2}\times 0.3-\sqrt{\frac{28}{-7}+5}-\left(-2\right)^{6}$$

Subtract 8 from 4 to get -4.

$$-3+\left(-4\right)^{2}\times 0.3-\sqrt{\frac{28}{-7}+5}-\left(-2\right)^{6}$$

Calculate -4 to the power of 2 and get 16.

$$-3+16\times 0.3-\sqrt{\frac{28}{-7}+5}-\left(-2\right)^{6}$$

Multiply 16 and 0.3 to get 4.8.

$$-3+4.8-\sqrt{\frac{28}{-7}+5}-\left(-2\right)^{6}$$

Add -3 and 4.8 to get 1.8.

$$1.8-\sqrt{\frac{28}{-7}+5}-\left(-2\right)^{6}$$

Divide 28 by -7 to get -4.

$$1.8-\sqrt{-4+5}-\left(-2\right)^{6}$$

Add -4 and 5 to get 1.

$$1.8-\sqrt{1}-\left(-2\right)^{6}$$

Calculate the square root of 1 and get 1.

$$1.8-1-\left(-2\right)^{6}$$

Subtract 1 from 1.8 to get 0.8.

$$0.8-\left(-2\right)^{6}$$

Calculate -2 to the power of 6 and get 64.

$$0.8-64$$

Subtract 64 from 0.8 to get -63.2.

$$-63.2$$

Factor

$$-63.2$$