Solve 4^7*6^7=(4*6)^7

$$4 ^ { 7 } \cdot 6 ^ { 7 } = ( 4 \cdot 6 ) ^ { 7 }$$

Verify

Solution Steps

Calculate 4 to the power of 7 and get 16384.

$$16384\times 6^{7}=\left(4\times 6\right)^{7}$$

Calculate 6 to the power of 7 and get 279936.

$$16384\times 279936=\left(4\times 6\right)^{7}$$

Multiply 16384 and 279936 to get 4586471424.

$$4586471424=\left(4\times 6\right)^{7}$$

Multiply 4 and 6 to get 24.

$$4586471424=24^{7}$$

Calculate 24 to the power of 7 and get 4586471424.

$$4586471424=4586471424$$

Compare 4586471424 and 4586471424.

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