Solve (2^-7*5^5)^2=?

$$( 2 ^ { - 7 } \cdot 5 ^ { 5 } ) ^ { 2 } = ?$$

Evaluate

$$\frac{9765625}{16384}=596.046447754$$

Solution Steps

Calculate 2 to the power of -7 and get \frac{1}{128}.

$$\left(\frac{1}{128}\times 5^{5}\right)^{2}$$

Calculate 5 to the power of 5 and get 3125.

$$\left(\frac{1}{128}\times 3125\right)^{2}$$

Multiply \frac{1}{128} and 3125 to get \frac{3125}{128}.

$$\left(\frac{3125}{128}\right)^{2}$$

Calculate \frac{3125}{128} to the power of 2 and get \frac{9765625}{16384}.

$$\frac{9765625}{16384}$$

Factor

$$\frac{5 ^ {10}}{2 ^ {14}} = 596\frac{761}{16384} = 596.0464477539062$$