Solve {left(frac{16^-0.25+{-8}^-frac{1{3}}}{4^-0.5-9^-0.5}right)}^2

$${ \left( \frac{ { 16 }^{ -0.25 } + { -8 }^{ - \frac{ 1 }{ 3 } } }{ { 4 }^{ -0.5 } - { 9 }^{ -0.5 } } \right) }^{ 2 }$$

Evaluate

$$0$$

Solution Steps

Calculate 16 to the power of -0.25 and get \frac{1}{2}.

$$\left(\frac{\frac{1}{2}+\left(-8\right)^{-\frac{1}{3}}}{4^{-0.5}-9^{-0.5}}\right)^{2}$$

Calculate -8 to the power of -\frac{1}{3} and get -\frac{1}{2}.

$$\left(\frac{\frac{1}{2}-\frac{1}{2}}{4^{-0.5}-9^{-0.5}}\right)^{2}$$

Subtract \frac{1}{2} from \frac{1}{2} to get 0.

$$\left(\frac{0}{4^{-0.5}-9^{-0.5}}\right)^{2}$$

Calculate 4 to the power of -0.5 and get \frac{1}{2}.

$$\left(\frac{0}{\frac{1}{2}-9^{-0.5}}\right)^{2}$$

Calculate 9 to the power of -0.5 and get \frac{1}{3}.

$$\left(\frac{0}{\frac{1}{2}-\frac{1}{3}}\right)^{2}$$

Subtract \frac{1}{3} from \frac{1}{2} to get \frac{1}{6}.

$$\left(\frac{0}{\frac{1}{6}}\right)^{2}$$

Zero divided by any non-zero number gives zero.

$$0^{2}$$

Calculate 0 to the power of 2 and get 0.

$$0$$

Factor

$$0$$