Solve 3^4*5^4=(3*5)^4=15

$$3 ^ { 4 } \times 5 ^ { 4 } = ( 3 \times 5 ) ^ { 4 } = 15$$

Verify

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$81\times 5^{4}=\left(3\times 5\right)^{4}\text{ and }\left(3\times 5\right)^{4}=15$$

Calculate 5 to the power of 4 and get 625.

$$81\times 625=\left(3\times 5\right)^{4}\text{ and }\left(3\times 5\right)^{4}=15$$

Multiply 81 and 625 to get 50625.

$$50625=\left(3\times 5\right)^{4}\text{ and }\left(3\times 5\right)^{4}=15$$

Multiply 3 and 5 to get 15.

$$50625=15^{4}\text{ and }\left(3\times 5\right)^{4}=15$$

Calculate 15 to the power of 4 and get 50625.

$$50625=50625\text{ and }\left(3\times 5\right)^{4}=15$$

Compare 50625 and 50625.

$$\text{true}\text{ and }\left(3\times 5\right)^{4}=15$$

Multiply 3 and 5 to get 15.

$$\text{true}\text{ and }15^{4}=15$$

Calculate 15 to the power of 4 and get 50625.

$$\text{true}\text{ and }50625=15$$

Compare 50625 and 15.

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

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

$$\text{false}$$