Solve frac{(9^{-02})^{2}}{4^{9^-02}}-9^-02/2^9^-02

$$\frac { ( 9 ^ { - 02 } ) ^ { 2 } } { 4 ^ { 9 ^ { - 02 } } } - \frac { 9 ^ { - 02 } } { 2 ^ { 9 ^ { - 02 } } }$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Multiply 0 and 2 to get 0.

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

Calculate 9 to the power of 0 and get 1.

$$\frac{1^{2}}{4^{9^{0\times 2}}}-\frac{9^{0\times 2}}{2^{9^{0\times 2}}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{1}{4^{9^{0\times 2}}}-\frac{9^{0\times 2}}{2^{9^{0\times 2}}}$$

Multiply 0 and 2 to get 0.

$$\frac{1}{4^{9^{0}}}-\frac{9^{0\times 2}}{2^{9^{0\times 2}}}$$

Calculate 9 to the power of 0 and get 1.

$$\frac{1}{4^{1}}-\frac{9^{0\times 2}}{2^{9^{0\times 2}}}$$

Calculate 4 to the power of 1 and get 4.

$$\frac{1}{4}-\frac{9^{0\times 2}}{2^{9^{0\times 2}}}$$

Multiply 0 and 2 to get 0.

$$\frac{1}{4}-\frac{9^{0}}{2^{9^{0\times 2}}}$$

Calculate 9 to the power of 0 and get 1.

$$\frac{1}{4}-\frac{1}{2^{9^{0\times 2}}}$$

Multiply 0 and 2 to get 0.

$$\frac{1}{4}-\frac{1}{2^{9^{0}}}$$

Calculate 9 to the power of 0 and get 1.

$$\frac{1}{4}-\frac{1}{2^{1}}$$

Calculate 2 to the power of 1 and get 2.

$$\frac{1}{4}-\frac{1}{2}$$

Subtract \frac{1}{2} from \frac{1}{4} to get -\frac{1}{4}.

$$-\frac{1}{4}$$

Factor

$$-\frac{1}{4} = -0.25$$