Solve 81*3^-2^6=27*3^-1

$$81 \times 3 ^ { - 2 ^ { 6 } } = 27 \times 3 ^ { - 1 }$$

Verify

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$81\times 3^{-64}=27\times 3^{-1}$$

Calculate 3 to the power of -64 and get \frac{1}{3433683820292512484657849089281}.

$$81\times \frac{1}{3433683820292512484657849089281}=27\times 3^{-1}$$

Multiply 81 and \frac{1}{3433683820292512484657849089281} to get \frac{1}{42391158275216203514294433201}.

$$\frac{1}{42391158275216203514294433201}=27\times 3^{-1}$$

Calculate 3 to the power of -1 and get \frac{1}{3}.

$$\frac{1}{42391158275216203514294433201}=27\times \frac{1}{3}$$

Multiply 27 and \frac{1}{3} to get 9.

$$\frac{1}{42391158275216203514294433201}=9$$

Convert 9 to fraction \frac{381520424476945831628649898809}{42391158275216203514294433201}.

$$\frac{1}{42391158275216203514294433201}=\frac{381520424476945831628649898809}{42391158275216203514294433201}$$

Compare \frac{1}{42391158275216203514294433201} and \frac{381520424476945831628649898809}{42391158275216203514294433201}.

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