Solve 10^2/10^8=10^-3

$$\frac { 10 ^ { 2 } } { 10 ^ { 8 } } = 10 ^ { - 3 }$$

Verify

Solution Steps

Rewrite 10^{8} as 10^{2}\times 10^{6}. Cancel out 10^{2} in both numerator and denominator.

$$\frac{1}{10^{6}}=10^{-3}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1}{1000000}=10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1}{1000000}=\frac{1}{1000}$$

Least common multiple of 1000000 and 1000 is 1000000. Convert \frac{1}{1000000} and \frac{1}{1000} to fractions with denominator 1000000.

$$\frac{1}{1000000}=\frac{1000}{1000000}$$

Compare \frac{1}{1000000} and \frac{1000}{1000000}.

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