Solve 35.4*10^-12*0.3/1.5*10^-4

$$\frac { 35.4 \times 10 ^ { - 12 } \times 0.3 } { 1.5 \times 10 ^ { - 4 } }$$

Evaluate

$$0.0000000708$$

Solution Steps

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

$$\frac{0.3\times 35.4}{1.5\times 10^{8}}$$

Multiply 0.3 and 35.4 to get 10.62.

$$\frac{10.62}{1.5\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{10.62}{1.5\times 100000000}$$

Multiply 1.5 and 100000000 to get 150000000.

$$\frac{10.62}{150000000}$$

Expand \frac{10.62}{150000000} by multiplying both numerator and the denominator by 100.

$$\frac{1062}{15000000000}$$

Reduce the fraction \frac{1062}{15000000000} to lowest terms by extracting and canceling out 6.

$$\frac{177}{2500000000}$$

Factor

$$\frac{3 \cdot 59}{2 ^ {8} \cdot 5 ^ {10}} = 7.08 \times 10^{-8}$$