Solve 0.78510^-425.25^26

$$0.785 { 10 }^{ -4 } { 25.25 }^{ 2 } 6$$

Evaluate

$$0.3002919375$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$0.785\times \frac{1}{10000}\times 25.25^{2}\times 6$$

Multiply 0.785 and \frac{1}{10000} to get \frac{157}{2000000}.

$$\frac{157}{2000000}\times 25.25^{2}\times 6$$

Calculate 25.25 to the power of 2 and get 637.5625.

$$\frac{157}{2000000}\times 637.5625\times 6$$

Multiply \frac{157}{2000000} and 637.5625 to get \frac{1601557}{32000000}.

$$\frac{1601557}{32000000}\times 6$$

Multiply \frac{1601557}{32000000} and 6 to get \frac{4804671}{16000000}.

$$\frac{4804671}{16000000}$$

Factor

$$\frac{3 \cdot 157 \cdot 101 ^ {2}}{2 ^ {10} \cdot 5 ^ {6}} = 0.3002919375$$