Solve 5(2-3)^3-3sqrt{12-8}+3(4)^4+8=

$$5 ( 2 - 3 ) ^ { 3 } - 3 \sqrt { 12 - 8 } + 3 ( 4 ) ^ { 4 } + 8 =$$

Evaluate

$$765$$

Solution Steps

Subtract 3 from 2 to get -1.

$$5\left(-1\right)^{3}-3\sqrt{12-8}+3\times 4^{4}+8$$

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

$$5\left(-1\right)-3\sqrt{12-8}+3\times 4^{4}+8$$

Multiply 5 and -1 to get -5.

$$-5-3\sqrt{12-8}+3\times 4^{4}+8$$

Subtract 8 from 12 to get 4.

$$-5-3\sqrt{4}+3\times 4^{4}+8$$

Calculate the square root of 4 and get 2.

$$-5-3\times 2+3\times 4^{4}+8$$

Multiply 3 and 2 to get 6.

$$-5-6+3\times 4^{4}+8$$

Subtract 6 from -5 to get -11.

$$-11+3\times 4^{4}+8$$

Calculate 4 to the power of 4 and get 256.

$$-11+3\times 256+8$$

Multiply 3 and 256 to get 768.

$$-11+768+8$$

Add -11 and 768 to get 757.

$$757+8$$

Add 757 and 8 to get 765.

$$765$$

Factor

$$3^{2}\times 5\times 17$$