Solve -2/3*sqrt[3]{-27}-(5*sqrt{004}+4*2^-2

$$- \frac{ 2 }{ 3 } \times \sqrt[3]{ -27 } -(5 \times \sqrt{ 004 } +4 \times { 2 }^{ -2 }$$

Evaluate

$$-9$$

Solution Steps

Calculate \sqrt[3]{-27} and get -3.

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

Multiply -\frac{2}{3} and -3 to get 2.

$$2-\left(5\sqrt{4}+4\times 2^{-2}\right)$$

Calculate the square root of 4 and get 2.

$$2-\left(5\times 2+4\times 2^{-2}\right)$$

Multiply 5 and 2 to get 10.

$$2-\left(10+4\times 2^{-2}\right)$$

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$2-\left(10+4\times \frac{1}{4}\right)$$

Multiply 4 and \frac{1}{4} to get 1.

$$2-\left(10+1\right)$$

Add 10 and 1 to get 11.

$$2-11$$

Subtract 11 from 2 to get -9.

$$-9$$

Factor

$$-9$$