Solve 6.67*10^-11*100*7.12*10^-18/(100+6.4*10^-43)

$$\frac { 6.67 \times 10 ^ { - 11 } \times 100 \times 7.12 \times 10 ^ { - 18 } } { ( 100 + 6.4 \times 10 ^ { - 43 } ) }$$

Evaluate

$$\frac{74203750000000000}{156250000000000000000000000000000000000000001}\approx 4.74904 \cdot 10^{-28}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and -18 to get -29.

$$\frac{6.67\times 10^{-29}\times 100\times 7.12}{100+6.4\times 10^{-43}}$$

Calculate 10 to the power of -29 and get \frac{1}{100000000000000000000000000000}.

$$\frac{6.67\times \frac{1}{100000000000000000000000000000}\times 100\times 7.12}{100+6.4\times 10^{-43}}$$

Multiply 6.67 and \frac{1}{100000000000000000000000000000} to get \frac{667}{10000000000000000000000000000000}.

$$\frac{\frac{667}{10000000000000000000000000000000}\times 100\times 7.12}{100+6.4\times 10^{-43}}$$

Multiply \frac{667}{10000000000000000000000000000000} and 100 to get \frac{667}{100000000000000000000000000000}.

$$\frac{\frac{667}{100000000000000000000000000000}\times 7.12}{100+6.4\times 10^{-43}}$$

Multiply \frac{667}{100000000000000000000000000000} and 7.12 to get \frac{59363}{1250000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{100+6.4\times 10^{-43}}$$

Calculate 10 to the power of -43 and get \frac{1}{10000000000000000000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{100+6.4\times \frac{1}{10000000000000000000000000000000000000000000}}$$

Multiply 6.4 and \frac{1}{10000000000000000000000000000000000000000000} to get \frac{1}{1562500000000000000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{100+\frac{1}{1562500000000000000000000000000000000000000}}$$

Add 100 and \frac{1}{1562500000000000000000000000000000000000000} to get \frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000}.

$$\frac{\frac{59363}{1250000000000000000000000000000}}{\frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000}}$$

Divide \frac{59363}{1250000000000000000000000000000} by \frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000} by multiplying \frac{59363}{1250000000000000000000000000000} by the reciprocal of \frac{156250000000000000000000000000000000000000001}{1562500000000000000000000000000000000000000}.

$$\frac{59363}{1250000000000000000000000000000}\times \frac{1562500000000000000000000000000000000000000}{156250000000000000000000000000000000000000001}$$

Multiply \frac{59363}{1250000000000000000000000000000} and \frac{1562500000000000000000000000000000000000000}{156250000000000000000000000000000000000000001} to get \frac{74203750000000000}{156250000000000000000000000000000000000000001}.

$$\frac{74203750000000000}{156250000000000000000000000000000000000000001}$$