Solve 1.38*10^-23*290*512=

$$1.38 \times { 10 }^{ -23 } \times 290 \times 512=$$

Evaluate

$$0.000000000000000002049024$$

Solution Steps

Calculate 10 to the power of -23 and get \frac{1}{100000000000000000000000}.

$$1.38\times \frac{1}{100000000000000000000000}\times 290\times 512$$

Multiply 1.38 and \frac{1}{100000000000000000000000} to get \frac{69}{5000000000000000000000000}.

$$\frac{69}{5000000000000000000000000}\times 290\times 512$$

Multiply \frac{69}{5000000000000000000000000} and 290 to get \frac{2001}{500000000000000000000000}.

$$\frac{2001}{500000000000000000000000}\times 512$$

Multiply \frac{2001}{500000000000000000000000} and 512 to get \frac{2001}{976562500000000000000}.

$$\frac{2001}{976562500000000000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 29}{2 ^ {14} \cdot 5 ^ {24}} = 2.0490239999999997 \times 10^{-18}$$