Solve 6626*10^-34^/4*31410^-210^-5

$$\frac{ 6626 \times { 10 }^{ { -34 }^{ } } }{ 4 \cdot 314 { 10 }^{ -2 } { 10 }^{ -5 } }$$

Evaluate

$$\frac{3313}{628000000000000000000000000000}\approx 5.275477707 \cdot 10^{-27}$$

Solution Steps

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

$$\frac{6626\times 10^{\left(-34\right)^{1}}}{4\times 314\times 10^{-7}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3313\times 10^{\left(-34\right)^{1}}}{2\times 314\times 10^{-7}}$$

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

$$\frac{3313\times 10^{-34}}{2\times 314\times 10^{-7}}$$

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

$$\frac{3313\times \frac{1}{10000000000000000000000000000000000}}{2\times 314\times 10^{-7}}$$

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

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{2\times 314\times 10^{-7}}$$

Multiply 2 and 314 to get 628.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{628\times 10^{-7}}$$

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

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{628\times \frac{1}{10000000}}$$

Multiply 628 and \frac{1}{10000000} to get \frac{157}{2500000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{\frac{157}{2500000}}$$

Divide \frac{3313}{10000000000000000000000000000000000} by \frac{157}{2500000} by multiplying \frac{3313}{10000000000000000000000000000000000} by the reciprocal of \frac{157}{2500000}.

$$\frac{3313}{10000000000000000000000000000000000}\times \frac{2500000}{157}$$

Multiply \frac{3313}{10000000000000000000000000000000000} and \frac{2500000}{157} to get \frac{3313}{628000000000000000000000000000}.

$$\frac{3313}{628000000000000000000000000000}$$

Factor

$$\frac{3313}{2 ^ {29} \cdot 5 ^ {27} \cdot 157} = 5.275477707006369 \times 10^{-27}$$