Solve 2/5^-72*5^5

$$\frac { 2 } { 5 ^ { - 7 } 2 } \cdot 5 ^ { 5 }$$

Evaluate

$$244140625$$

Solution Steps

Calculate 5 to the power of -7 and get \frac{1}{78125}.

$$\frac{2}{\frac{1}{78125}\times 2}\times 5^{5}$$

Multiply \frac{1}{78125} and 2 to get \frac{2}{78125}.

$$\frac{2}{\frac{2}{78125}}\times 5^{5}$$

Divide 2 by \frac{2}{78125} by multiplying 2 by the reciprocal of \frac{2}{78125}.

$$2\times \frac{78125}{2}\times 5^{5}$$

Multiply 2 and \frac{78125}{2} to get 78125.

$$78125\times 5^{5}$$

Calculate 5 to the power of 5 and get 3125.

$$78125\times 3125$$

Multiply 78125 and 3125 to get 244140625.

$$244140625$$

Factor

$$5^{12}$$