Solve 663*10^-34/27*10^7*91*10^-31

$$\frac { 663 \times 10 ^ { - 34 } } { 27 \times 10 ^ { 7 } \times 91 \times 10 ^ { - 31 } }$$

Evaluate

$$\frac{17}{630000000000}\approx 2.698412698 \cdot 10^{-11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and -31 to get -24.

$$\frac{663\times 10^{-34}}{27\times 10^{-24}\times 91}$$

Cancel out 3\times 13 in both numerator and denominator.

$$\frac{17\times 10^{-34}}{7\times 9\times 10^{-24}}$$

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

$$\frac{17}{7\times 9\times 10^{10}}$$

Multiply 7 and 9 to get 63.

$$\frac{17}{63\times 10^{10}}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{17}{63\times 10000000000}$$

Multiply 63 and 10000000000 to get 630000000000.

$$\frac{17}{630000000000}$$

Factor

$$\frac{17}{2 ^ {10} \cdot 3 ^ {2} \cdot 5 ^ {10} \cdot 7} = 2.6984126984126986 \times 10^{-11}$$