Solve (3.2*10^-14)*9.8/2(1.6*10^-19)=

$$\frac{ (3.2 \times { 10 }^{ -14 } ) \times 9.8 }{ 2(1.6 \times { 10 }^{ -19 } ) } =$$

Evaluate

$$980000$$

Solution Steps

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

$$\frac{3.2\times 9.8\times 10^{5}}{1.6\times 2}$$

Multiply 3.2 and 9.8 to get 31.36.

$$\frac{31.36\times 10^{5}}{1.6\times 2}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{31.36\times 100000}{1.6\times 2}$$

Multiply 31.36 and 100000 to get 3136000.

$$\frac{3136000}{1.6\times 2}$$

Multiply 1.6 and 2 to get 3.2.

$$\frac{3136000}{3.2}$$

Expand \frac{3136000}{3.2} by multiplying both numerator and the denominator by 10.

$$\frac{31360000}{32}$$

Divide 31360000 by 32 to get 980000.

$$980000$$

Factor

$$2^{5}\times 5^{4}\times 7^{2}$$