Solve -5-{[(-3)^3divsqrt{9}]-12div(-2)^2}+sqrt{4^3}

$$- 5 - \{ [ ( - 3 ) ^ { 3 } \div \sqrt { 9 } ] - 12 \div ( - 2 ) ^ { 2 } \} + \sqrt { 4 ^ { 3 } }$$

Evaluate

$$15$$

Solution Steps

Calculate -3 to the power of 3 and get -27.

$$-5-\left(\frac{-27}{\sqrt{9}}-\frac{12}{\left(-2\right)^{2}}\right)+\sqrt{4^{3}}$$

Calculate the square root of 9 and get 3.

$$-5-\left(\frac{-27}{3}-\frac{12}{\left(-2\right)^{2}}\right)+\sqrt{4^{3}}$$

Divide -27 by 3 to get -9.

$$-5-\left(-9-\frac{12}{\left(-2\right)^{2}}\right)+\sqrt{4^{3}}$$

Calculate -2 to the power of 2 and get 4.

$$-5-\left(-9-\frac{12}{4}\right)+\sqrt{4^{3}}$$

Divide 12 by 4 to get 3.

$$-5-\left(-9-3\right)+\sqrt{4^{3}}$$

Subtract 3 from -9 to get -12.

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

The opposite of -12 is 12.

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

Add -5 and 12 to get 7.

$$7+\sqrt{4^{3}}$$

Calculate 4 to the power of 3 and get 64.

$$7+\sqrt{64}$$

Calculate the square root of 64 and get 8.

$$7+8$$

Add 7 and 8 to get 15.

$$15$$

Factor

$$3\times 5$$