Solve 9*10^4(8*10^-6)(5*10^-6)/0.1^2

$$9 \times 10 ^ { 4 } \frac { ( 8 \times 10 ^ { - 6 } ) ( 5 \times 10 ^ { - 6 } ) } { 0.1 ^ { 2 } }$$

Evaluate

$$0.00036$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -6 to get -12.

$$9\times 10^{4}\times \frac{8\times 10^{-12}\times 5}{0.1^{2}}$$

Calculate 10 to the power of 4 and get 10000.

$$9\times 10000\times \frac{8\times 10^{-12}\times 5}{0.1^{2}}$$

Multiply 9 and 10000 to get 90000.

$$90000\times \frac{8\times 10^{-12}\times 5}{0.1^{2}}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$90000\times \frac{8\times \frac{1}{1000000000000}\times 5}{0.1^{2}}$$

Multiply 8 and \frac{1}{1000000000000} to get \frac{1}{125000000000}.

$$90000\times \frac{\frac{1}{125000000000}\times 5}{0.1^{2}}$$

Multiply \frac{1}{125000000000} and 5 to get \frac{1}{25000000000}.

$$90000\times \frac{\frac{1}{25000000000}}{0.1^{2}}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$90000\times \frac{\frac{1}{25000000000}}{0.01}$$

Express \frac{\frac{1}{25000000000}}{0.01} as a single fraction.

$$90000\times \frac{1}{25000000000\times 0.01}$$

Multiply 25000000000 and 0.01 to get 250000000.

$$90000\times \frac{1}{250000000}$$

Multiply 90000 and \frac{1}{250000000} to get \frac{9}{25000}.

$$\frac{9}{25000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3} \cdot 5 ^ {5}} = 0.00036$$