Solve 1.3*10^-7*7.1*10^-15/9.0*10^-29

$$\frac{ 1.3 \times { 10 }^{ -7 } \times 7.1 \times { 10 }^{ -15 } }{ 9.0 \times { 10 }^{ -29 } }$$

Evaluate

$$\frac{92300000}{9}\approx 10255555.555555556$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -7 and -15 to get -22.

$$\frac{1.3\times 10^{-22}\times 7.1}{9\times 10^{-29}}$$

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

$$\frac{1.3\times 7.1\times 10^{7}}{9}$$

Multiply 1.3 and 7.1 to get 9.23.

$$\frac{9.23\times 10^{7}}{9}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{9.23\times 10000000}{9}$$

Multiply 9.23 and 10000000 to get 92300000.

$$\frac{92300000}{9}$$

Factor

$$\frac{13 \cdot 71 \cdot 2 ^ {5} \cdot 5 ^ {5}}{3 ^ {2}} = 10255555\frac{5}{9} = 10255555.555555556$$