Solve 9*10^4(1*10^04)(2.5*10^-4)/(0.05)^2

$$\frac { 9 \times 10 ^ { 4 } ( 1 \times 10 ^ { 04 } ) ( 2.5 \times 10 ^ { - 4 } ) } { ( 0.05 ) ^ { 2 } }$$

Evaluate

$$9000$$

Solution Steps

Multiply 10^{4} and 10^{-4} to get 1.

$$\frac{9\times 1\times 10^{0\times 4}\times 2.5}{0.05^{2}}$$

Multiply 9 and 1 to get 9.

$$\frac{9\times 10^{0\times 4}\times 2.5}{0.05^{2}}$$

Multiply 0 and 4 to get 0.

$$\frac{9\times 10^{0}\times 2.5}{0.05^{2}}$$

Calculate 10 to the power of 0 and get 1.

$$\frac{9\times 1\times 2.5}{0.05^{2}}$$

Multiply 9 and 1 to get 9.

$$\frac{9\times 2.5}{0.05^{2}}$$

Multiply 9 and 2.5 to get 22.5.

$$\frac{22.5}{0.05^{2}}$$

Calculate 0.05 to the power of 2 and get 0.0025.

$$\frac{22.5}{0.0025}$$

Expand \frac{22.5}{0.0025} by multiplying both numerator and the denominator by 10000.

$$\frac{225000}{25}$$

Divide 225000 by 25 to get 9000.

$$9000$$

Factor

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