Solve 4*10^8*9*10^3/8*10^4*3*10^5

$$\frac { 4 \cdot 10 ^ { 8 } \cdot 9 \cdot 10 ^ { 3 } } { 8 \cdot 10 ^ { 4 } \cdot 3 \cdot 10 ^ { 5 } }$$

Evaluate

$$150$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 3 to get 11.

$$\frac{4\times 10^{11}\times 9}{8\times 10^{4}\times 3\times 10^{5}}$$

To multiply powers of the same base, add their exponents. Add 4 and 5 to get 9.

$$\frac{4\times 10^{11}\times 9}{8\times 10^{9}\times 3}$$

Cancel out 3\times 4\times 10^{9} in both numerator and denominator.

$$\frac{3\times 10^{2}}{2}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{3\times 100}{2}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{2}$$

Divide 300 by 2 to get 150.

$$150$$

Factor

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