Solve 0.5*1.672*10^-27*(4*10^5)*(4*10^5)

$$0.5 \times 1.672 \times { 10 }^{ -27 } \times (4 \times { 10 }^{ 5 } ) \times (4 \times { 10 }^{ 5 } )$$

Evaluate

$$0.00000000000000013376$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -27 and 5 to get -22.

$$0.5\times 1.672\times 10^{-22}\times 4\times 4\times 10^{5}$$

To multiply powers of the same base, add their exponents. Add -22 and 5 to get -17.

$$0.5\times 1.672\times 10^{-17}\times 4\times 4$$

Multiply 0.5 and 1.672 to get 0.836.

$$0.836\times 10^{-17}\times 4\times 4$$

Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$0.836\times \frac{1}{100000000000000000}\times 4\times 4$$

Multiply 0.836 and \frac{1}{100000000000000000} to get \frac{209}{25000000000000000000}.

$$\frac{209}{25000000000000000000}\times 4\times 4$$

Multiply \frac{209}{25000000000000000000} and 4 to get \frac{209}{6250000000000000000}.

$$\frac{209}{6250000000000000000}\times 4$$

Multiply \frac{209}{6250000000000000000} and 4 to get \frac{209}{1562500000000000000}.

$$\frac{209}{1562500000000000000}$$

Factor

$$\frac{11 \cdot 19}{2 ^ {14} \cdot 5 ^ {20}} = 1.3376000000000001 \times 10^{-16}$$