Solve (9.12*10^-14)div(3.2*10)

$$( 9.12 \times 10 ^ { - 14 } ) \div ( 3.2 \times 10 )$$

Evaluate

$$0.00000000000000285$$

Solution Steps

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

$$\frac{9.12}{3.2\times 10^{15}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{9.12}{3.2\times 1000000000000000}$$

Multiply 3.2 and 1000000000000000 to get 3200000000000000.

$$\frac{9.12}{3200000000000000}$$

Expand \frac{9.12}{3200000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{912}{320000000000000000}$$

Reduce the fraction \frac{912}{320000000000000000} to lowest terms by extracting and canceling out 16.

$$\frac{57}{20000000000000000}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {17} \cdot 5 ^ {16}} = 2.85 \times 10^{-15}$$