Solve 10^{7}(9/40)^4(3^-1*10^18)^-3=1

$$10 ^ { 7 } ( \frac { 9 } { 40 } ) ^ { 4 } ( 3 ^ { - 1 } \times 10 ^ { 18 } ) ^ { - 3 } = 1$$

Verify

Solution Steps

Calculate 10 to the power of 7 and get 10000000.

$$10000000\times \left(\frac{9}{40}\right)^{4}\times \left(3^{-1}\times 10^{18}\right)^{-3}=1$$

Calculate \frac{9}{40} to the power of 4 and get \frac{6561}{2560000}.

$$10000000\times \frac{6561}{2560000}\times \left(3^{-1}\times 10^{18}\right)^{-3}=1$$

Multiply 10000000 and \frac{6561}{2560000} to get \frac{820125}{32}.

$$\frac{820125}{32}\times \left(3^{-1}\times 10^{18}\right)^{-3}=1$$

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

$$\frac{820125}{32}\times \left(\frac{1}{3}\times 10^{18}\right)^{-3}=1$$

Calculate 10 to the power of 18 and get 1000000000000000000.

$$\frac{820125}{32}\times \left(\frac{1}{3}\times 1000000000000000000\right)^{-3}=1$$

Multiply \frac{1}{3} and 1000000000000000000 to get \frac{1000000000000000000}{3}.

$$\frac{820125}{32}\times \left(\frac{1000000000000000000}{3}\right)^{-3}=1$$

Calculate \frac{1000000000000000000}{3} to the power of -3 and get \frac{27}{1000000000000000000000000000000000000000000000000000000}.

$$\frac{820125}{32}\times \frac{27}{1000000000000000000000000000000000000000000000000000000}=1$$

Multiply \frac{820125}{32} and \frac{27}{1000000000000000000000000000000000000000000000000000000} to get \frac{177147}{256000000000000000000000000000000000000000000000000000}.

$$\frac{177147}{256000000000000000000000000000000000000000000000000000}=1$$

Convert 1 to fraction \frac{256000000000000000000000000000000000000000000000000000}{256000000000000000000000000000000000000000000000000000}.

$$\frac{177147}{256000000000000000000000000000000000000000000000000000}=\frac{256000000000000000000000000000000000000000000000000000}{256000000000000000000000000000000000000000000000000000}$$

Compare \frac{177147}{256000000000000000000000000000000000000000000000000000} and \frac{256000000000000000000000000000000000000000000000000000}{256000000000000000000000000000000000000000000000000000}.

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