Solve {left(7*25/6right)}^22

$${ \left(7 \times \frac{ 25 }{ 6 } \right) }^{ 22 }$$

Evaluate

$$\frac{22224759553540639268476297729648649692535400390625}{131621703842267136}\approx 1.688533039 \cdot 10^{32}$$

Solution Steps

Multiply 7 and \frac{25}{6} to get \frac{175}{6}.

$$\left(\frac{175}{6}\right)^{22}$$

Calculate \frac{175}{6} to the power of 22 and get \frac{22224759553540639268476297729648649692535400390625}{131621703842267136}.

$$\frac{22224759553540639268476297729648649692535400390625}{131621703842267136}$$

Factor

$$\frac{5 ^ {44} \cdot 7 ^ {22}}{2 ^ {22} \cdot 3 ^ {22}} = 1.6885330386069424 \times 10^{32}\frac{88014649471008770}{1.3162170384226715 \times 10^{17}} = 1.6885330386069424 \times 10^{32}$$