Solve 8.85*10^-12*6.63*10^-34/3.14*9.1*10^-31*1.6*10^-28

$$\frac{ 8.85 \times { 10 }^{ -12 } \times 6.63 \times { 10 }^{ -34 } }{ 3.14 \times 9.1 \times { 10 }^{ -31 } \times 1.6 \times { 10 }^{ -28 } }$$

Evaluate

$$\frac{14104687500000000}{1099}\approx 1.283411056 \cdot 10^{13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -12 and -34 to get -46.

$$\frac{8.85\times 10^{-46}\times 6.63}{3.14\times 9.1\times 10^{-31}\times 1.6\times 10^{-28}}$$

To multiply powers of the same base, add their exponents. Add -31 and -28 to get -59.

$$\frac{8.85\times 10^{-46}\times 6.63}{3.14\times 9.1\times 10^{-59}\times 1.6}$$

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

$$\frac{6.63\times 8.85\times 10^{13}}{1.6\times 3.14\times 9.1}$$

Multiply 6.63 and 8.85 to get 58.6755.

$$\frac{58.6755\times 10^{13}}{1.6\times 3.14\times 9.1}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{58.6755\times 10000000000000}{1.6\times 3.14\times 9.1}$$

Multiply 58.6755 and 10000000000000 to get 586755000000000.

$$\frac{586755000000000}{1.6\times 3.14\times 9.1}$$

Multiply 1.6 and 3.14 to get 5.024.

$$\frac{586755000000000}{5.024\times 9.1}$$

Multiply 5.024 and 9.1 to get 45.7184.

$$\frac{586755000000000}{45.7184}$$

Expand \frac{586755000000000}{45.7184} by multiplying both numerator and the denominator by 10000.

$$\frac{5867550000000000000}{457184}$$

Reduce the fraction \frac{5867550000000000000}{457184} to lowest terms by extracting and canceling out 416.

$$\frac{14104687500000000}{1099}$$

Factor

$$\frac{17 \cdot 59 \cdot 2 ^ {8} \cdot 3 ^ {2} \cdot 5 ^ {14}}{7 \cdot 157} = 12834110555050\frac{50}{1099} = 12834110555050.045$$