Solve {left({left({left(21^2/4right)}^2right)}^2right)}^2

$${ \left( { \left( { \left( \frac{ { 21 }^{ 2 } }{ 4 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 }$$

Evaluate

$$\frac{1430568690241985328321}{65536}=2.182874588 \cdot 10^{16}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\left(\left(\frac{21^{2}}{4}\right)^{4}\right)^{2}$$

Calculate 21 to the power of 2 and get 441.

$$\left(\left(\frac{441}{4}\right)^{4}\right)^{2}$$

Calculate \frac{441}{4} to the power of 4 and get \frac{37822859361}{256}.

$$\left(\frac{37822859361}{256}\right)^{2}$$

Calculate \frac{37822859361}{256} to the power of 2 and get \frac{1430568690241985328321}{65536}.

$$\frac{1430568690241985328321}{65536}$$

Factor

$$\frac{3 ^ {16} \cdot 7 ^ {16}}{2 ^ {16}} = 21828745883819356$$