Solve 6*6.4*10^-2/8.9*10^3*6*10^23*3.14

$$\frac { 6 \times 6.4 \times 10 ^ { - 2 } } { 8.9 \times 10 ^ { 3 } \times 6 \times 10 ^ { 23 } \times 3.14 }$$

Evaluate

$$\frac{1}{43665625000000000000000000000}\approx 2.290130967 \cdot 10^{-29}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 23 to get 26.

$$\frac{6\times 6.4\times 10^{-2}}{8.9\times 10^{26}\times 6\times 3.14}$$

Cancel out 6 in both numerator and denominator.

$$\frac{6.4\times 10^{-2}}{3.14\times 8.9\times 10^{26}}$$

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

$$\frac{6.4}{3.14\times 8.9\times 10^{28}}$$

Multiply 3.14 and 8.9 to get 27.946.

$$\frac{6.4}{27.946\times 10^{28}}$$

Calculate 10 to the power of 28 and get 10000000000000000000000000000.

$$\frac{6.4}{27.946\times 10000000000000000000000000000}$$

Multiply 27.946 and 10000000000000000000000000000 to get 279460000000000000000000000000.

$$\frac{6.4}{279460000000000000000000000000}$$

Expand \frac{6.4}{279460000000000000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{64}{2794600000000000000000000000000}$$

Reduce the fraction \frac{64}{2794600000000000000000000000000} to lowest terms by extracting and canceling out 64.

$$\frac{1}{43665625000000000000000000000}$$

Factor

$$\frac{1}{89 \cdot 157 \cdot 2 ^ {21} \cdot 5 ^ {26}} = 2.290130966864668 \times 10^{-29}$$