Solve (-8+12)^2*(-4+5)+sqrt[3]{1000}-sqrt{16}-sqrt[4]{16}

$$( - 8 + 12 ) ^ { 2 } \cdot ( - 4 + 5 ) + \sqrt[ 3 ] { 1000 } - \sqrt { 16 } - \sqrt[ 4 ] { 16 }$$

Evaluate

$$20$$

Solution Steps

Add -8 and 12 to get 4.

$$4^{2}\left(-4+5\right)+\sqrt[3]{1000}-\sqrt{16}-\sqrt[4]{16}$$

Calculate 4 to the power of 2 and get 16.

$$16\left(-4+5\right)+\sqrt[3]{1000}-\sqrt{16}-\sqrt[4]{16}$$

Add -4 and 5 to get 1.

$$16\times 1+\sqrt[3]{1000}-\sqrt{16}-\sqrt[4]{16}$$

Multiply 16 and 1 to get 16.

$$16+\sqrt[3]{1000}-\sqrt{16}-\sqrt[4]{16}$$

Calculate \sqrt[3]{1000} and get 10.

$$16+10-\sqrt{16}-\sqrt[4]{16}$$

Add 16 and 10 to get 26.

$$26-\sqrt{16}-\sqrt[4]{16}$$

Calculate the square root of 16 and get 4.

$$26-4-\sqrt[4]{16}$$

Subtract 4 from 26 to get 22.

$$22-\sqrt[4]{16}$$

Calculate \sqrt[4]{16} and get 2.

$$22-2$$

Subtract 2 from 22 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$