Solve 1,3*10^-36/7,8*10^-5=

$$\frac { 1,3 \times 10 ^ { - 36 } } { 7,8 \times 10 ^ { - 5 } } =$$

Evaluate

$$\frac{1}{60000000000000000000000000000000}\approx 1,666666667 \cdot 10^{-32}$$

Solution Steps

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

$$\frac{1,3}{7,8\times 10^{31}}$$

Calculate 10 to the power of 31 and get 10000000000000000000000000000000.

$$\frac{1,3}{7,8\times 10000000000000000000000000000000}$$

Multiply 7,8 and 10000000000000000000000000000000 to get 78000000000000000000000000000000.

$$\frac{1,3}{78000000000000000000000000000000}$$

Expand \frac{1,3}{78000000000000000000000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{13}{780000000000000000000000000000000}$$

Reduce the fraction \frac{13}{780000000000000000000000000000000} to lowest terms by extracting and canceling out 13.

$$\frac{1}{60000000000000000000000000000000}$$

Factor

$$\frac{1}{3 \cdot 2 ^ {32} \cdot 5 ^ {31}} = 1.6666666666666665 \times 10^{-32}$$