Solve 2*7*10^-23/8*10^29

$$\frac { 2 \cdot 7 \times 10 ^ { - 23 } } { 8 \times 10 ^ { 29 } }$$

Evaluate

$$\frac{7}{40000000000000000000000000000000000000000000000000000}=1.75 \cdot 10^{-52}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{7\times 10^{-23}}{4\times 10^{29}}$$

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

$$\frac{7}{4\times 10^{52}}$$

Calculate 10 to the power of 52 and get 10000000000000000000000000000000000000000000000000000.

$$\frac{7}{4\times 10000000000000000000000000000000000000000000000000000}$$

Multiply 4 and 10000000000000000000000000000000000000000000000000000 to get 40000000000000000000000000000000000000000000000000000.

$$\frac{7}{40000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{7}{2 ^ {54} \cdot 5 ^ {52}} = 1.75 \times 10^{-52}$$