Solve 2^6*32^616^3/256^4={4}^9

$${ 2 }^{ 6 } \times \frac{ { 32 }^{ 6 } { 16 }^{ 3 } }{ { 256 }^{ 4 } } = { 4 }^{ 9 }$$

Verify

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$64\times \frac{32^{6}\times 16^{3}}{256^{4}}=4^{9}$$

Calculate 32 to the power of 6 and get 1073741824.

$$64\times \frac{1073741824\times 16^{3}}{256^{4}}=4^{9}$$

Calculate 16 to the power of 3 and get 4096.

$$64\times \frac{1073741824\times 4096}{256^{4}}=4^{9}$$

Multiply 1073741824 and 4096 to get 4398046511104.

$$64\times \frac{4398046511104}{256^{4}}=4^{9}$$

Calculate 256 to the power of 4 and get 4294967296.

$$64\times \frac{4398046511104}{4294967296}=4^{9}$$

Divide 4398046511104 by 4294967296 to get 1024.

$$64\times 1024=4^{9}$$

Multiply 64 and 1024 to get 65536.

$$65536=4^{9}$$

Calculate 4 to the power of 9 and get 262144.

$$65536=262144$$

Compare 65536 and 262144.

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