Solve (sqrt{4^6}sqrt{4^10})(4^5)

$$( \sqrt{ { 4 }^{ 6 } } \sqrt{ { 4 }^{ 10 } } )( { 4 }^{ 5 } )$$

Evaluate

$$67108864$$

Solution Steps

Calculate 4 to the power of 6 and get 4096.

$$\sqrt{4096}\sqrt{4^{10}}\times 4^{5}$$

Calculate the square root of 4096 and get 64.

$$64\sqrt{4^{10}}\times 4^{5}$$

Calculate 4 to the power of 10 and get 1048576.

$$64\sqrt{1048576}\times 4^{5}$$

Calculate the square root of 1048576 and get 1024.

$$64\times 1024\times 4^{5}$$

Multiply 64 and 1024 to get 65536.

$$65536\times 4^{5}$$

Calculate 4 to the power of 5 and get 1024.

$$65536\times 1024$$

Multiply 65536 and 1024 to get 67108864.

$$67108864$$

Factor

$$2^{26}$$