Solve {l}{2^3=4^6}{-2^4=4^7}

$$\left. \begin{array} { l } { 2 ^ { 3 } = 4 ^ { 6 } } \\ { - 2 ^ { 4 } = 4 ^ { 7 } } \end{array} \right.$$

Verify

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$8=4^{6}\text{ and }-2^{4}=4^{7}$$

Calculate 4 to the power of 6 and get 4096.

$$8=4096\text{ and }-2^{4}=4^{7}$$

Compare 8 and 4096.

$$\text{false}\text{ and }-2^{4}=4^{7}$$

Calculate 2 to the power of 4 and get 16.

$$\text{false}\text{ and }-16=4^{7}$$

Calculate 4 to the power of 7 and get 16384.

$$\text{false}\text{ and }-16=16384$$

Compare -16 and 16384.

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

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

$$\text{false}$$