Solve 2.1*10^7*150/4.2*10^3*75

$$\frac { 2.1 \times 10 ^ { 7 } \times 150 } { 4.2 \times 10 ^ { 3 } \times 75 }$$

Evaluate

$$10000$$

Solution Steps

Cancel out 75\times 10^{3} in both numerator and denominator.

$$\frac{2\times 2.1\times 10^{4}}{4.2}$$

Multiply 2 and 2.1 to get 4.2.

$$\frac{4.2\times 10^{4}}{4.2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{4.2\times 10000}{4.2}$$

Multiply 4.2 and 10000 to get 42000.

$$\frac{42000}{4.2}$$

Expand \frac{42000}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{420000}{42}$$

Divide 420000 by 42 to get 10000.

$$10000$$

Factor

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