Solve 2^-2+9^10*5^-6-100*2

$$2 ^ { - 2 } + 9 ^ { 10 } \times 5 ^ { - 6 } - 100 \times 2$$

Evaluate

$$\frac{13934653229}{62500}=222954.451664$$

Solution Steps

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

$$\frac{1}{4}+9^{10}\times 5^{-6}-100\times 2$$

Calculate 9 to the power of 10 and get 3486784401.

$$\frac{1}{4}[phone]\times 5^{-6}-100\times 2$$

Calculate 5 to the power of -6 and get \frac{1}{15625}.

$$\frac{1}{4}[phone]\times \frac{1}{15625}-100\times 2$$

Multiply 3486784401 and \frac{1}{15625} to get \frac{3486784401}{15625}.

$$\frac{1}{4}+\frac{3486784401}{15625}-100\times 2$$

Add \frac{1}{4} and \frac{3486784401}{15625} to get \frac{13947153229}{62500}.

$$\frac{13947153229}{62500}-100\times 2$$

Multiply 100 and 2 to get 200.

$$\frac{13947153229}{62500}-200$$

Subtract 200 from \frac{13947153229}{62500} to get \frac{13934653229}{62500}.

$$\frac{13934653229}{62500}$$

Factor

$$\frac{7 \cdot 43 \cdot 46294529}{2 ^ {2} \cdot 5 ^ {6}} = 222954\frac{28229}{62500} = 222954.451664$$