Solve (2.6*10^-3)div(50*1.43*10^-4)

$$(2.6 \times { 10 }^{ -3 } ) \div (50 \times 1.43 \times { 10 }^{ -4 } )$$

Evaluate

$$\frac{4}{11}\approx 0.363636364$$

Solution Steps

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

$$\frac{2.6\times 10^{1}}{1.43\times 50}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{2.6\times 10}{1.43\times 50}$$

Multiply 2.6 and 10 to get 26.

$$\frac{26}{1.43\times 50}$$

Multiply 1.43 and 50 to get 71.5.

$$\frac{26}{71.5}$$

Expand \frac{26}{71.5} by multiplying both numerator and the denominator by 10.

$$\frac{260}{715}$$

Reduce the fraction \frac{260}{715} to lowest terms by extracting and canceling out 65.

$$\frac{4}{11}$$

Factor

$$\frac{2 ^ {2}}{11} = 0.36363636363636365$$