Solve (4*frac{1}2^19)^19

$$( 4 \times \frac { 1 } { 2 } ^ { 19 } ) ^ { 19 }$$

Evaluate

$$\frac{1}{17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608}\approx 5.852095443 \cdot 10^{-98}$$

Solution Steps

Calculate \frac{1}{2} to the power of 19 and get \frac{1}{524288}.

$$\left(4\times \frac{1}{524288}\right)^{19}$$

Multiply 4 and \frac{1}{524288} to get \frac{1}{131072}.

$$\left(\frac{1}{131072}\right)^{19}$$

Calculate \frac{1}{131072} to the power of 19 and get \frac{1}{17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608}.

$$\frac{1}{17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608}$$

Factor

$$\frac{1}{2 ^ {323}} = 5.852095443365248 \times 10^{-98}$$