Solve 10*10^-14/50*10^-2=20*10^-11

$$\frac{ 10 \times { 10 }^{ -14 } }{ 50 \times { 10 }^{ -2 } } =20 \times { 10 }^{ -11 }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -14 to get -13.

$$\frac{10^{-13}}{50\times 10^{-2}}=20\times 10^{-11}$$

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

$$\frac{1}{50\times 10^{11}}=20\times 10^{-11}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{1}{50\times 100000000000}=20\times 10^{-11}$$

Multiply 50 and 100000000000 to get 5000000000000.

$$\frac{1}{5000000000000}=20\times 10^{-11}$$

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

$$\frac{1}{5000000000000}=20\times \frac{1}{100000000000}$$

Multiply 20 and \frac{1}{100000000000} to get \frac{1}{5000000000}.

$$\frac{1}{5000000000000}=\frac{1}{5000000000}$$

Least common multiple of 5000000000000 and 5000000000 is 5000000000000. Convert \frac{1}{5000000000000} and \frac{1}{5000000000} to fractions with denominator 5000000000000.

$$\frac{1}{5000000000000}=\frac{1000}{5000000000000}$$

Compare \frac{1}{5000000000000} and \frac{1000}{5000000000000}.

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