Solve [-11^2-(-1)]divsqrt[3]{0.008}+30*sqrt{8100}-84

$$[ - 11 ^ { 2 } - ( - 1 ) ] \div \sqrt[ 3 ] { 0.008 } + 30 \times \sqrt { 8100 } - 84$$

Evaluate

$$2016$$

Solution Steps

Calculate 11 to the power of 2 and get 121.

$$\frac{-121-\left(-1\right)}{\sqrt[3]{0.008}}+30\sqrt{8100}-84$$

The opposite of -1 is 1.

$$\frac{-121+1}{\sqrt[3]{0.008}}+30\sqrt{8100}-84$$

Add -121 and 1 to get -120.

$$\frac{-120}{\sqrt[3]{0.008}}+30\sqrt{8100}-84$$

Calculate \sqrt[3]{0.008} and get \frac{1}{5}.

$$\frac{-120}{\frac{1}{5}}+30\sqrt{8100}-84$$

Divide -120 by \frac{1}{5} by multiplying -120 by the reciprocal of \frac{1}{5}.

$$-120\times 5+30\sqrt{8100}-84$$

Multiply -120 and 5 to get -600.

$$-600+30\sqrt{8100}-84$$

Calculate the square root of 8100 and get 90.

$$-600+30\times 90-84$$

Multiply 30 and 90 to get 2700.

$$-600+2700-84$$

Add -600 and 2700 to get 2100.

$$2100-84$$

Subtract 84 from 2100 to get 2016.

$$2016$$

Factor

$$7\times 2^{5}\times 3^{2}$$