Solve 5^-1*10^-4=210^-5

$${ 5 }^{ -1 } \times { 10 }^{ -4 } = 2 { 10 }^{ -5 }$$

Verify

Solution Steps

Calculate 5 to the power of -1 and get \frac{1}{5}.

$$\frac{1}{5}\times 10^{-4}=2\times 10^{-5}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{1}{5}\times \frac{1}{10000}=2\times 10^{-5}$$

Multiply \frac{1}{5} and \frac{1}{10000} to get \frac{1}{50000}.

$$\frac{1}{50000}=2\times 10^{-5}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{1}{50000}=2\times \frac{1}{100000}$$

Multiply 2 and \frac{1}{100000} to get \frac{1}{50000}.

$$\frac{1}{50000}=\frac{1}{50000}$$

Compare \frac{1}{50000} and \frac{1}{50000}.

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