Solve [1,12*10^-6]^2/[2,23*10^3][1,24*10^-3]

$$\frac { [ 1,12 \cdot 10 ^ { - 6 } ] ^ { 2 } } { [ 2,23 \cdot 10 ^ { 3 } ] [ 1,24 \times 10 ^ { - 3 } ] }$$

Evaluate

$$\frac{49}{108015625000000}\approx 4,536380732 \cdot 10^{-13}$$

Solution Steps

Multiply 10^{3} and 10^{-3} to get 1.

$$\frac{\left(1,12\times 10^{-6}\right)^{2}}{2,23\times 1,24}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{\left(1,12\times \frac{1}{1000000}\right)^{2}}{2,23\times 1,24}$$

Multiply 1,12 and \frac{1}{1000000} to get \frac{7}{6250000}.

$$\frac{\left(\frac{7}{6250000}\right)^{2}}{2,23\times 1,24}$$

Calculate \frac{7}{6250000} to the power of 2 and get \frac{49}{39062500000000}.

$$\frac{\frac{49}{39062500000000}}{2,23\times 1,24}$$

Multiply 2,23 and 1,24 to get 2,7652.

$$\frac{\frac{49}{39062500000000}}{2,7652}$$

Express \frac{\frac{49}{39062500000000}}{2,7652} as a single fraction.

$$\frac{49}{39062500000000\times 2,7652}$$

Multiply 39062500000000 and 2,7652 to get 108015625000000.

$$\frac{49}{108015625000000}$$

Factor

$$\frac{7 ^ {2}}{31 \cdot 223 \cdot 2 ^ {6} \cdot 5 ^ {12}} = 4.536380731954289 \times 10^{-13}$$