Solve (2.97/3.44*10^4)(1.43*10^-5)(2.13*10^3)

$$( \frac { 2.97 } { 3.44 \times 10 ^ { 4 } } ) ( 1.43 \times 10 ^ { - 5 } ) ( 2.13 \times 10 ^ { 3 } )$$

Evaluate

$$\frac{9046323}{3440000000000}\approx 0.00000263$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and 3 to get -2.

$$\frac{2.97}{3.44\times 10^{4}}\times 1.43\times 10^{-2}\times 2.13$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{2.97}{3.44\times 10000}\times 1.43\times 10^{-2}\times 2.13$$

Multiply 3.44 and 10000 to get 34400.

$$\frac{2.97}{34400}\times 1.43\times 10^{-2}\times 2.13$$

Expand \frac{2.97}{34400} by multiplying both numerator and the denominator by 100.

$$\frac{297}{3440000}\times 1.43\times 10^{-2}\times 2.13$$

Multiply \frac{297}{3440000} and 1.43 to get \frac{42471}{344000000}.

$$\frac{42471}{344000000}\times 10^{-2}\times 2.13$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{42471}{344000000}\times \frac{1}{100}\times 2.13$$

Multiply \frac{42471}{344000000} and \frac{1}{100} to get \frac{42471}{34400000000}.

$$\frac{42471}{34400000000}\times 2.13$$

Multiply \frac{42471}{34400000000} and 2.13 to get \frac{9046323}{3440000000000}.

$$\frac{9046323}{3440000000000}$$

Factor

$$\frac{13 \cdot 71 \cdot 3 ^ {4} \cdot 11 ^ {2}}{43 \cdot 2 ^ {13} \cdot 5 ^ {10}} = 2.629745058139535 \times 10^{-6}$$