Solve 89*10^-5*8.31*290/2.1*10^5

$$\frac{ 89 \times { 10 }^{ -5 } \times 8.31 \times 290 }{ 2.1 \times { 10 }^{ 5 } }$$

Evaluate

$$\frac{714937}{70000000000}\approx 0.000010213$$

Solution Steps

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

$$\frac{8.31\times 89\times 290}{2.1\times 10^{10}}$$

Multiply 8.31 and 89 to get 739.59.

$$\frac{739.59\times 290}{2.1\times 10^{10}}$$

Multiply 739.59 and 290 to get 214481.1.

$$\frac{214481.1}{2.1\times 10^{10}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{214481.1}{2.1\times 10000000000}$$

Multiply 2.1 and 10000000000 to get 21000000000.

$$\frac{214481.1}{21000000000}$$

Expand \frac{214481.1}{21000000000} by multiplying both numerator and the denominator by 10.

$$\frac{2144811}{210000000000}$$

Reduce the fraction \frac{2144811}{210000000000} to lowest terms by extracting and canceling out 3.

$$\frac{714937}{70000000000}$$

Factor

$$\frac{29 \cdot 89 \cdot 277}{7 \cdot 2 ^ {10} \cdot 5 ^ {10}} = 1.0213385714285712 \times 10^{-5}$$