Solve 4.3*10^-5/(1.957*10^-3)(1.957*10^-3)

$$\frac{ 4.3 \times { 10 }^{ -5 } }{ (1.957 \times { 10 }^{ -3 } )(1.957 \times { 10 }^{ -3 } ) }$$

Evaluate

$$\frac{43000000}{3829849}\approx 11.227596702$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -3 to get -6.

$$\frac{4.3\times 10^{-5}}{1.957\times 10^{-6}\times 1.957}$$

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

$$\frac{4.3\times 10^{1}}{1.957\times 1.957}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{4.3\times 10}{1.957\times 1.957}$$

Multiply 4.3 and 10 to get 43.

$$\frac{43}{1.957\times 1.957}$$

Multiply 1.957 and 1.957 to get 3.829849.

$$\frac{43}{3.829849}$$

Expand \frac{43}{3.829849} by multiplying both numerator and the denominator by 1000000.

$$\frac{43000000}{3829849}$$

Factor

$$\frac{43 \cdot 2 ^ {6} \cdot 5 ^ {6}}{19 ^ {2} \cdot 103 ^ {2}} = 11\frac{871661}{3829849} = 11.227596701593196$$