Solve 36^{4}:(2^{4}*2^4)=36^4:2^4=9^4

$$36 ^ { 4 } : ( 2 ^ { 4 } \cdot 2 ^ { 4 } ) = 36 ^ { 4 } : 2 ^ { 4 } = 9 ^ { 4 }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$\frac{36^{4}}{2^{8}}=\frac{36^{4}}{2^{4}}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Calculate 36 to the power of 4 and get 1679616.

$$\frac{1679616}{2^{8}}=\frac{36^{4}}{2^{4}}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Calculate 2 to the power of 8 and get 256.

$$\frac{1679616}{256}=\frac{36^{4}}{2^{4}}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Divide 1679616 by 256 to get 6561.

$$6561=\frac{36^{4}}{2^{4}}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Calculate 36 to the power of 4 and get 1679616.

$$6561=\frac{1679616}{2^{4}}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Calculate 2 to the power of 4 and get 16.

$$6561=\frac{1679616}{16}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Divide 1679616 by 16 to get 104976.

$$6561=104976\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Compare 6561 and 104976.

$$\text{false}\text{ and }\frac{36^{4}}{2^{4}}=9^{4}$$

Calculate 36 to the power of 4 and get 1679616.

$$\text{false}\text{ and }\frac{1679616}{2^{4}}=9^{4}$$

Calculate 2 to the power of 4 and get 16.

$$\text{false}\text{ and }\frac{1679616}{16}=9^{4}$$

Divide 1679616 by 16 to get 104976.

$$\text{false}\text{ and }104976=9^{4}$$

Calculate 9 to the power of 4 and get 6561.

$$\text{false}\text{ and }104976=6561$$

Compare 104976 and 6561.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$