Solve 20^2+3y*0(30+21+60)^3/(-sqrt{-21-sqrt{-21})^0}

$$\frac { 20 ^ { 2 } + 3 y \times 0 ( 30 + 21 + 60 ) ^ { 3 } } { ( - \sqrt { - 21 } - \sqrt { - 21 } ) ^ { 0 } }$$

Evaluate (complex solution)

$$400$$

Solution Steps

Calculate 20 to the power of 2 and get 400.

$$\frac{400+3y\times 0\left(30+21+60\right)^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Multiply 3 and 0 to get 0.

$$\frac{400+0y\left(30+21+60\right)^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Add 30 and 21 to get 51.

$$\frac{400+0y\left(51+60\right)^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Add 51 and 60 to get 111.

$$\frac{400+0y\times 111^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Calculate 111 to the power of 3 and get 1367631.

$$\frac{400+0y\times 1367631}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Multiply 0 and 1367631 to get 0.

$$\frac{400+0y}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Anything times zero gives zero.

$$\frac{400+0}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Add 400 and 0 to get 400.

$$\frac{400}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Factor -21=21\left(-1\right). Rewrite the square root of the product \sqrt{21\left(-1\right)} as the product of square roots \sqrt{21}\sqrt{-1}. By definition, the square root of -1 is i.

$$\frac{400}{\left(-\sqrt{21}i-\sqrt{-21}\right)^{0}}$$

Factor -21=21\left(-1\right). Rewrite the square root of the product \sqrt{21\left(-1\right)} as the product of square roots \sqrt{21}\sqrt{-1}. By definition, the square root of -1 is i.

$$\frac{400}{\left(-\sqrt{21}i-\sqrt{21}i\right)^{0}}$$

Multiply -1 and i to get -i.

$$\frac{400}{\left(-\sqrt{21}i-i\sqrt{21}\right)^{0}}$$

Multiply -1 and i to get -i.

$$\frac{400}{\left(-i\sqrt{21}-i\sqrt{21}\right)^{0}}$$

Combine -i\sqrt{21} and -i\sqrt{21} to get -2i\sqrt{21}.

$$\frac{400}{\left(-2i\sqrt{21}\right)^{0}}$$

Calculate -2i\sqrt{21} to the power of 0 and get 1.

$$\frac{400}{1}$$

Anything divided by one gives itself.

$$400$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate 20 to the power of 2 and get 400.

$$\frac{400+3y\times 0\left(30+21+60\right)^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Multiply 3 and 0 to get 0.

$$\frac{400+0y\left(30+21+60\right)^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Add 30 and 21 to get 51.

$$\frac{400+0y\left(51+60\right)^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Add 51 and 60 to get 111.

$$\frac{400+0y\times 111^{3}}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Calculate 111 to the power of 3 and get 1367631.

$$\frac{400+0y\times 1367631}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Multiply 0 and 1367631 to get 0.

$$\frac{400+0y}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Anything times zero gives zero.

$$\frac{400+0}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Add 400 and 0 to get 400.

$$\frac{400}{\left(-\sqrt{-21}-\sqrt{-21}\right)^{0}}$$

Combine -\sqrt{-21} and -\sqrt{-21} to get -2\sqrt{-21}.

$$\frac{400}{\left(-2\sqrt{-21}\right)^{0}}$$

Calculate -2\sqrt{-21} to the power of 0 and get 1.

$$\frac{400}{1}$$

Anything divided by one gives itself.

$$400$$

Factor

$$\text{Indeterminate}$$