Solve 7+8^0+{-sqrt[3]{27}[5-1^7(10-23+4)+(54div6)]-4^2}

$$7 + 8 ^ { 0 } + \{ - \sqrt[ 3 ] { 27 } [ 5 - 1 ^ { 7 } ( 10 - 23 + 4 ) + ( 54 \div 6 ) ] - 4 ^ { 2 } \}$$

Evaluate

$$-77$$

Solution Steps

Calculate 8 to the power of 0 and get 1.

$$7+1+\left(-\sqrt[3]{27}\right)\left(5-1^{7}\left(10-23+4\right)+\frac{54}{6}\right)-4^{2}$$

Add 7 and 1 to get 8.

$$8+\left(-\sqrt[3]{27}\right)\left(5-1^{7}\left(10-23+4\right)+\frac{54}{6}\right)-4^{2}$$

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

$$8+-3\left(5-1^{7}\left(10-23+4\right)+\frac{54}{6}\right)-4^{2}$$

Calculate 1 to the power of 7 and get 1.

$$8+-3\left(5-\left(10-23+4\right)+\frac{54}{6}\right)-4^{2}$$

Subtract 23 from 10 to get -13.

$$8+-3\left(5-\left(-13+4\right)+\frac{54}{6}\right)-4^{2}$$

Add -13 and 4 to get -9.

$$8+-3\left(5-\left(-9\right)+\frac{54}{6}\right)-4^{2}$$

The opposite of -9 is 9.

$$8+-3\left(5+9+\frac{54}{6}\right)-4^{2}$$

Add 5 and 9 to get 14.

$$8+-3\left(14+\frac{54}{6}\right)-4^{2}$$

Divide 54 by 6 to get 9.

$$8+-3\left(14+9\right)-4^{2}$$

Add 14 and 9 to get 23.

$$8+-3\times 23-4^{2}$$

Multiply -3 and 23 to get -69.

$$8+-69-4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$8-69-16$$

Subtract 16 from -69 to get -85.

$$8-85$$

Subtract 85 from 8 to get -77.

$$-77$$

Factor

$$-77$$