Solve 6.626*10^-34*3*10^8div4*1.6*10^-09

$$6.626 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } \div 4 \times 1.6 \times { 10 }^{ -09 }$$

Evaluate

$$0.000000000000000000000000079512$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$\frac{6.626\times 10^{-26}\times 3}{4}\times 1.6\times 10^{0\times 9}$$

Calculate 10 to the power of -26 and get \frac{1}{100000000000000000000000000}.

$$\frac{6.626\times \frac{1}{100000000000000000000000000}\times 3}{4}\times 1.6\times 10^{0\times 9}$$

Multiply 6.626 and \frac{1}{100000000000000000000000000} to get \frac{3313}{50000000000000000000000000000}.

$$\frac{\frac{3313}{50000000000000000000000000000}\times 3}{4}\times 1.6\times 10^{0\times 9}$$

Multiply \frac{3313}{50000000000000000000000000000} and 3 to get \frac{9939}{50000000000000000000000000000}.

$$\frac{\frac{9939}{50000000000000000000000000000}}{4}\times 1.6\times 10^{0\times 9}$$

Express \frac{\frac{9939}{50000000000000000000000000000}}{4} as a single fraction.

$$\frac{9939}{50000000000000000000000000000\times 4}\times 1.6\times 10^{0\times 9}$$

Multiply 50000000000000000000000000000 and 4 to get 200000000000000000000000000000.

$$\frac{9939}{200000000000000000000000000000}\times 1.6\times 10^{0\times 9}$$

Multiply \frac{9939}{200000000000000000000000000000} and 1.6 to get \frac{9939}{125000000000000000000000000000}.

$$\frac{9939}{125000000000000000000000000000}\times 10^{0\times 9}$$

Multiply 0 and 9 to get 0.

$$\frac{9939}{125000000000000000000000000000}\times 10^{0}$$

Calculate 10 to the power of 0 and get 1.

$$\frac{9939}{125000000000000000000000000000}\times 1$$

Multiply \frac{9939}{125000000000000000000000000000} and 1 to get \frac{9939}{125000000000000000000000000000}.

$$\frac{9939}{125000000000000000000000000000}$$

Factor

$$\frac{3 \cdot 3313}{2 ^ {27} \cdot 5 ^ {30}} = 7.9512 \times 10^{-26}$$