Solve 24*69*10^-31/456*3*10^-3

$$\frac { 24 \cdot 69 \times 10 ^ { - 31 } } { 456 \cdot 3 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{23}{190000000000000000000000000000}\approx 1.210526316 \cdot 10^{-28}$$

Solution Steps

Cancel out 3\times 24 in both numerator and denominator.

$$\frac{23\times 10^{-31}}{19\times 10^{-3}}$$

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

$$\frac{23}{19\times 10^{28}}$$

Calculate 10 to the power of 28 and get 10000000000000000000000000000.

$$\frac{23}{19\times 10000000000000000000000000000}$$

Multiply 19 and 10000000000000000000000000000 to get 190000000000000000000000000000.

$$\frac{23}{190000000000000000000000000000}$$

Factor

$$\frac{23}{2 ^ {28} \cdot 5 ^ {28} \cdot 19} = 1.2105263157894737 \times 10^{-28}$$