Solve 4^7^2*4^-3^4

$${ 4 }^{ { 7 }^{ 2 } } \times { 4 }^{ - { 3 }^{ 4 } }$$

Evaluate

$$\frac{1}{18446744073709551616}=5.421010862 \cdot 10^{-20}$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$4^{49}\times 4^{-3^{4}}$$

Calculate 4 to the power of 49 and get 316912650057057350374175801344.

$$316912650057057350374175801344\times 4^{-3^{4}}$$

Calculate 3 to the power of 4 and get 81.

$$316912650057057350374175801344\times 4^{-81}$$

Calculate 4 to the power of -81 and get \frac{1}{5846006549323611672814739330865132078623730171904}.

$$316912650057057350374175801344\times \frac{1}{5846006549323611672814739330865132078623730171904}$$

Multiply 316912650057057350374175801344 and \frac{1}{5846006549323611672814739330865132078623730171904} to get \frac{1}{18446744073709551616}.

$$\frac{1}{18446744073709551616}$$

Factor

$$\frac{1}{2 ^ {64}} = 5.421010862427522 \times 10^{-20}$$