Solve 10^-7/10^4=1/10^-11

$$\frac { 10 ^ { - 7 } } { 10 ^ { 4 } } = \frac { 1 } { 10 ^ { - 11 } }$$

Verify

Solution Steps

Rewrite 10^{4} as 10^{-7}\times 10^{11}. Cancel out 10^{-7} in both numerator and denominator.

$$\frac{1}{10^{11}}=\frac{1}{10^{-11}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{1}{100000000000}=\frac{1}{10^{-11}}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{1}{100000000000}=\frac{1}{\frac{1}{100000000000}}$$

Divide 1 by \frac{1}{100000000000} by multiplying 1 by the reciprocal of \frac{1}{100000000000}.

$$\frac{1}{100000000000}=1\times 100000000000$$

Multiply 1 and 100000000000 to get 100000000000.

$$\frac{1}{100000000000}=100000000000$$

Convert 100000000000 to fraction \frac{10000000000000000000000}{100000000000}.

$$\frac{1}{100000000000}=\frac{10000000000000000000000}{100000000000}$$

Compare \frac{1}{100000000000} and \frac{10000000000000000000000}{100000000000}.

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