Solve 0,183*10^-9/3,4*10^-15=5,4*10^4

$$\frac { 0,183 \cdot 10 ^ { - 9 } } { 3,4 \cdot 10 ^ { - 15 } } = 5,4 \cdot 10 ^ { 4 }$$

Verify

Solution Steps

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

$$\frac{0,183\times 10^{6}}{3,4}=5,4\times 10^{4}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{0,183\times 1000000}{3,4}=5,4\times 10^{4}$$

Multiply 0,183 and 1000000 to get 183000.

$$\frac{183000}{3,4}=5,4\times 10^{4}$$

Expand \frac{183000}{3,4} by multiplying both numerator and the denominator by 10.

$$\frac{1830000}{34}=5,4\times 10^{4}$$

Reduce the fraction \frac{1830000}{34} to lowest terms by extracting and canceling out 2.

$$\frac{915000}{17}=5,4\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{915000}{17}=5,4\times 10000$$

Multiply 5,4 and 10000 to get 54000.

$$\frac{915000}{17}=54000$$

Convert 54000 to fraction \frac{918000}{17}.

$$\frac{915000}{17}=\frac{918000}{17}$$

Compare \frac{915000}{17} and \frac{918000}{17}.

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