Solve 1.0*10^-14/5.0*10^-2=2.0*10^-11

$$\frac{ 1.0 \times { 10 }^{ -14 } }{ 5.0 \times { 10 }^{ -2 } } =2.0 \times { 10 }^{ -11 }$$

Verify

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{5\times 10^{12}}=2\times 10^{-11}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{1}{5\times 1000000000000}=2\times 10^{-11}$$

Multiply 5 and 1000000000000 to get 5000000000000.

$$\frac{1}{5000000000000}=2\times 10^{-11}$$

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

$$\frac{1}{5000000000000}=2\times \frac{1}{100000000000}$$

Multiply 2 and \frac{1}{100000000000} to get \frac{1}{50000000000}.

$$\frac{1}{5000000000000}=\frac{1}{50000000000}$$

Least common multiple of 5000000000000 and 50000000000 is 5000000000000. Convert \frac{1}{5000000000000} and \frac{1}{50000000000} to fractions with denominator 5000000000000.

$$\frac{1}{5000000000000}=\frac{100}{5000000000000}$$

Compare \frac{1}{5000000000000} and \frac{100}{5000000000000}.

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