Solve (5+7*8)-(4-[6/2*3-2]^3)

$$( 5 + 7 \times 8 ) - ( 4 - [ \frac { 6 } { 2 \times 3 } - 2 ] ^ { 3 } )$$

Evaluate

$$56$$

Solution Steps

Multiply 7 and 8 to get 56.

$$5+56-\left(4-\left(\frac{6}{2\times 3}-2\right)^{3}\right)$$

Add 5 and 56 to get 61.

$$61-\left(4-\left(\frac{6}{2\times 3}-2\right)^{3}\right)$$

Multiply 2 and 3 to get 6.

$$61-\left(4-\left(\frac{6}{6}-2\right)^{3}\right)$$

Divide 6 by 6 to get 1.

$$61-\left(4-\left(1-2\right)^{3}\right)$$

Subtract 2 from 1 to get -1.

$$61-\left(4-\left(-1\right)^{3}\right)$$

Calculate -1 to the power of 3 and get -1.

$$61-\left(4-\left(-1\right)\right)$$

The opposite of -1 is 1.

$$61-\left(4+1\right)$$

Add 4 and 1 to get 5.

$$61-5$$

Subtract 5 from 61 to get 56.

$$56$$

Factor

$$2^{3}\times 7$$