Solve 10^-14/1.8*10^-5=10^-4/1.8

$$\frac { 10 ^ { - 14 } } { 1.8 \times 10 ^ { - 5 } } = \frac { 10 ^ { - 4 } } { 1.8 }$$

Verify

Solution Steps

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

$$\frac{1}{1.8\times 10^{9}}=\frac{10^{-4}}{1.8}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{1}{1.8\times 1000000000}=\frac{10^{-4}}{1.8}$$

Multiply 1.8 and 1000000000 to get 1800000000.

$$\frac{1}{1800000000}=\frac{10^{-4}}{1.8}$$

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

$$\frac{1}{1800000000}=\frac{\frac{1}{10000}}{1.8}$$

Express \frac{\frac{1}{10000}}{1.8} as a single fraction.

$$\frac{1}{1800000000}=\frac{1}{10000\times 1.8}$$

Multiply 10000 and 1.8 to get 18000.

$$\frac{1}{1800000000}=\frac{1}{18000}$$

Least common multiple of 1800000000 and 18000 is 1800000000. Convert \frac{1}{1800000000} and \frac{1}{18000} to fractions with denominator 1800000000.

$$\frac{1}{1800000000}=\frac{100000}{1800000000}$$

Compare \frac{1}{1800000000} and \frac{100000}{1800000000}.

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