Solve 6.626*10^-34^/4*3.1410^-210^-5

$$\frac{ 6.626 \times { 10 }^{ { -34 }^{ } } }{ 4 \cdot 3.14 { 10 }^{ -2 } { 10 }^{ -5 } }$$

Evaluate

$$\frac{3313}{6280000000000000000000000000000}\approx 5.275477707 \cdot 10^{-28}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -5 to get -7.

$$\frac{6.626\times 10^{\left(-34\right)^{1}}}{4\times 3.14\times 10^{-7}}$$

Calculate -34 to the power of 1 and get -34.

$$\frac{6.626\times 10^{-34}}{4\times 3.14\times 10^{-7}}$$

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$\frac{6.626\times \frac{1}{10000000000000000000000000000000000}}{4\times 3.14\times 10^{-7}}$$

Multiply 6.626 and \frac{1}{10000000000000000000000000000000000} to get \frac{3313}{5000000000000000000000000000000000000}.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{4\times 3.14\times 10^{-7}}$$

Multiply 4 and 3.14 to get 12.56.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{12.56\times 10^{-7}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{12.56\times \frac{1}{10000000}}$$

Multiply 12.56 and \frac{1}{10000000} to get \frac{157}{125000000}.

$$\frac{\frac{3313}{5000000000000000000000000000000000000}}{\frac{157}{125000000}}$$

Divide \frac{3313}{5000000000000000000000000000000000000} by \frac{157}{125000000} by multiplying \frac{3313}{5000000000000000000000000000000000000} by the reciprocal of \frac{157}{125000000}.

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{125000000}{157}$$

Multiply \frac{3313}{5000000000000000000000000000000000000} and \frac{125000000}{157} to get \frac{3313}{6280000000000000000000000000000}.

$$\frac{3313}{6280000000000000000000000000000}$$

Factor

$$\frac{3313}{157 \cdot 2 ^ {30} \cdot 5 ^ {28}} = 5.275477707006369 \times 10^{-28}$$