Solve 6*63*10^-9*3*10^8/5*3*10^-7

$$6 \cdot 63 \times 10 ^ { - 9 } \cdot \frac { 3 \times 10 ^ { 8 } } { 5 \cdot 3 \times 10 ^ { - 7 } }$$

Evaluate

$$75600000$$

Solution Steps

Multiply 6 and 63 to get 378.

$$378\times 10^{-9}\times \frac{3\times 10^{8}}{5\times 3\times 10^{-7}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$378\times \frac{1}{1000000000}\times \frac{3\times 10^{8}}{5\times 3\times 10^{-7}}$$

Multiply 378 and \frac{1}{1000000000} to get \frac{189}{500000000}.

$$\frac{189}{500000000}\times \frac{3\times 10^{8}}{5\times 3\times 10^{-7}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{189}{500000000}\times \frac{10^{8}}{5\times 10^{-7}}$$

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

$$\frac{189}{500000000}\times \frac{10^{15}}{5}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{189}{500000000}\times \frac{1000000000000000}{5}$$

Divide 1000000000000000 by 5 to get 200000000000000.

$$\frac{189}{500000000}\times 200000000000000$$

Multiply \frac{189}{500000000} and 200000000000000 to get 75600000.

$$75600000$$

Factor

$$2^{7}\times 3^{3}\times 5^{5}\times 7$$