Solve 10^-5/2330*224*10^-6*150*10^-6

$$\frac { 10 ^ { - 5 } } { 2330 \cdot 224 \cdot 10 ^ { - 6 } \cdot 150 \cdot 10 ^ { - 6 } }$$

Evaluate

$$\frac{625}{4893}\approx 0.127733497$$

Solution Steps

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

$$\frac{10^{-5}}{2330\times 224\times 10^{-12}\times 150}$$

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

$$\frac{10^{7}}{150\times 224\times 2330}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{10000000}{150\times 224\times 2330}$$

Multiply 150 and 224 to get 33600.

$$\frac{10000000}{33600\times 2330}$$

Multiply 33600 and 2330 to get 78288000.

$$\frac{10000000}{78288000}$$

Reduce the fraction \frac{10000000}{78288000} to lowest terms by extracting and canceling out 16000.

$$\frac{625}{4893}$$

Factor

$$\frac{5 ^ {4}}{3 \cdot 7 \cdot 233} = 0.12773349683220928$$