Solve frac{-2^{4}+0^4+4^0}{(-2)^4+(1/2)^-2}

$$\frac { - 2 ^ { 4 } + 0 ^ { 4 } + 4 ^ { 0 } } { ( - 2 ) ^ { 4 } + ( \frac { 1 } { 2 } ) ^ { - 2 } }$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$\frac{-16+0^{4}+4^{0}}{\left(-2\right)^{4}+\left(\frac{1}{2}\right)^{-2}}$$

Calculate 0 to the power of 4 and get 0.

$$\frac{-16+0+4^{0}}{\left(-2\right)^{4}+\left(\frac{1}{2}\right)^{-2}}$$

Add -16 and 0 to get -16.

$$\frac{-16+4^{0}}{\left(-2\right)^{4}+\left(\frac{1}{2}\right)^{-2}}$$

Calculate 4 to the power of 0 and get 1.

$$\frac{-16+1}{\left(-2\right)^{4}+\left(\frac{1}{2}\right)^{-2}}$$

Add -16 and 1 to get -15.

$$\frac{-15}{\left(-2\right)^{4}+\left(\frac{1}{2}\right)^{-2}}$$

Calculate -2 to the power of 4 and get 16.

$$\frac{-15}{16+\left(\frac{1}{2}\right)^{-2}}$$

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

$$\frac{-15}{16+4}$$

Add 16 and 4 to get 20.

$$\frac{-15}{20}$$

Reduce the fraction \frac{-15}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$