Solve 9+{4^2-[2-(4-sqrt{81})](6+3)+2+5(7-4)-3+2^3}=

$$9 + \{ 4 ^ { 2 } - [ 2 - ( 4 - \sqrt { 81 } ) ] ( 6 + 3 ) + 2 + 5 ( 7 - 4 ) - 3 + 2 ^ { 3 } \} =$$

Evaluate

$$-16$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$9+16-\left(2-\left(4-\sqrt{81}\right)\right)\left(6+3\right)+2+5\left(7-4\right)-3+2^{3}$$

Calculate the square root of 81 and get 9.

$$9+16-\left(2-\left(4-9\right)\right)\left(6+3\right)+2+5\left(7-4\right)-3+2^{3}$$

Subtract 9 from 4 to get -5.

$$9+16-\left(2-\left(-5\right)\right)\left(6+3\right)+2+5\left(7-4\right)-3+2^{3}$$

The opposite of -5 is 5.

$$9+16-\left(2+5\right)\left(6+3\right)+2+5\left(7-4\right)-3+2^{3}$$

Add 2 and 5 to get 7.

$$9+16-7\left(6+3\right)+2+5\left(7-4\right)-3+2^{3}$$

Add 6 and 3 to get 9.

$$9+16-7\times 9+2+5\left(7-4\right)-3+2^{3}$$

Multiply 7 and 9 to get 63.

$$9+16-63+2+5\left(7-4\right)-3+2^{3}$$

Subtract 63 from 16 to get -47.

$$9-47+2+5\left(7-4\right)-3+2^{3}$$

Subtract 47 from 9 to get -38.

$$-38+2+5\left(7-4\right)-3+2^{3}$$

Add -38 and 2 to get -36.

$$-36+5\left(7-4\right)-3+2^{3}$$

Subtract 4 from 7 to get 3.

$$-36+5\times 3-3+2^{3}$$

Multiply 5 and 3 to get 15.

$$-36+15-3+2^{3}$$

Add -36 and 15 to get -21.

$$-21-3+2^{3}$$

Subtract 3 from -21 to get -24.

$$-24+2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$-24+8$$

Add -24 and 8 to get -16.

$$-16$$

Factor

$$-16$$