Solve 40*10^5*0.2/200*10^9*4*10^-2*10^-9

$$\frac { 40 \times 10 ^ { 5 } \times 0.2 } { 200 \times 10 ^ { 9 } \times 4 \times 10 ^ { - 2 } \times 10 ^ { - 9 } }$$

Evaluate

$$100000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -2 to get 7.

$$\frac{40\times 10^{5}\times 0.2}{200\times 10^{7}\times 4\times 10^{-9}}$$

To multiply powers of the same base, add their exponents. Add 7 and -9 to get -2.

$$\frac{40\times 10^{5}\times 0.2}{200\times 10^{-2}\times 4}$$

Cancel out 40 in both numerator and denominator.

$$\frac{0.2\times 10^{5}}{4\times 5\times 10^{-2}}$$

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

$$\frac{0.2\times 10^{7}}{4\times 5}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{0.2\times 10000000}{4\times 5}$$

Multiply 0.2 and 10000000 to get 2000000.

$$\frac{2000000}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{2000000}{20}$$

Divide 2000000 by 20 to get 100000.

$$100000$$

Factor

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