Solve frac{45sqrt{65}}{88}*left(14*56right)^22

$$\frac{ 45 \sqrt{ 65 } }{ 88 } \times { \left(14 \times 56 \right) }^{ 22 }$$

Evaluate

$$\frac{26611901410571494098348563462417433350522747951509711105755709440\sqrt{65}}{11}\approx 1.950472803 \cdot 10^{64}$$

Solution Steps

Multiply 14 and 56 to get 784.

$$\frac{45\sqrt{65}}{88}\times 784^{22}$$

Calculate 784 to the power of 22 and get 4731004695212710061928633504429765928981821858046170863245459456.

$$\frac{45\sqrt{65}}{88}\times 4731004695212710061928633504429765928981821858046170863245459456$$

Express \frac{45\sqrt{65}}{88}\times 4731004695212710061928633504429765928981821858046170863245459456 as a single fraction.

$$\frac{45\sqrt{65}\times 4731004695212710061928633504429765928981821858046170863245459456}{88}$$

Multiply 45 and 4731004695212710061928633504429765928981821858046170863245459456 to get 212895211284571952786788507699339466804181983612077688846045675520.

$$\frac{212895211284571952786788507699339466804181983612077688846045675520\sqrt{65}}{88}$$

Divide 212895211284571952786788507699339466804181983612077688846045675520\sqrt{65} by 88 to get \frac{26611901410571494098348563462417433350522747951509711105755709440}{11}\sqrt{65}.

$$\frac{26611901410571494098348563462417433350522747951509711105755709440}{11}\sqrt{65}$$