Solve [(25/4)^6:(5/2)^12]*(1/2)^24=

$$[ ( \frac { 25 } { 4 } ) ^ { 6 } : ( \frac { 5 } { 2 } ) ^ { 12 } ] \cdot ( \frac { 1 } { 2 } ) ^ { 24 } =$$

Evaluate

$$\frac{1}{16777216}=0.00000006$$

Solution Steps

Calculate \frac{25}{4} to the power of 6 and get \frac{244140625}{4096}.

$$\frac{\frac{244140625}{4096}}{\left(\frac{5}{2}\right)^{12}}\times \left(\frac{1}{2}\right)^{24}$$

Calculate \frac{5}{2} to the power of 12 and get \frac{244140625}{4096}.

$$\frac{\frac{244140625}{4096}}{\frac{244140625}{4096}}\times \left(\frac{1}{2}\right)^{24}$$

Divide \frac{244140625}{4096} by \frac{244140625}{4096} to get 1.

$$1\times \left(\frac{1}{2}\right)^{24}$$

Calculate \frac{1}{2} to the power of 24 and get \frac{1}{16777216}.

$$1\times \frac{1}{16777216}$$

Multiply 1 and \frac{1}{16777216} to get \frac{1}{16777216}.

$$\frac{1}{16777216}$$

Factor

$$\frac{1}{2 ^ {24}} = 5.9604644775390625 \times 10^{-8}$$