Solve 2.4*10^-5/(1.976*10^-3)(1.976*10^-3)

$$\frac{ 2.4 \times { 10 }^{ -5 } }{ (1.976 \times { 10 }^{ -3 } )(1.976 \times { 10 }^{ -3 } ) }$$

Evaluate

$$\frac{375000}{61009}\approx 6.146634103$$

Solution Steps

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

$$\frac{2.4\times 10^{-5}}{1.976\times 10^{-6}\times 1.976}$$

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

$$\frac{2.4\times 10^{1}}{1.976\times 1.976}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{2.4\times 10}{1.976\times 1.976}$$

Multiply 2.4 and 10 to get 24.

$$\frac{24}{1.976\times 1.976}$$

Multiply 1.976 and 1.976 to get 3.904576.

$$\frac{24}{3.904576}$$

Expand \frac{24}{3.904576} by multiplying both numerator and the denominator by 1000000.

$$\frac{24000000}{3904576}$$

Reduce the fraction \frac{24000000}{3904576} to lowest terms by extracting and canceling out 64.

$$\frac{375000}{61009}$$

Factor

$$\frac{3 \cdot 2 ^ {3} \cdot 5 ^ {6}}{13 ^ {2} \cdot 19 ^ {2}} = 6\frac{8946}{61009} = 6.146634103165106$$