Solve e-6.62510^-34310^8/1.3810^-23300*700*10

$$e \frac{ -6.625 { 10 }^{ -34 } 3 { 10 }^{ 8 } }{ 1.38 { 10 }^{ -23 } 300 \cdot 700 \cdot 10 }$$

Evaluate

$$-\frac{53e}{7728000000}\approx -0.000000019$$

Solution Steps

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

$$e\times \frac{-6.625\times 10^{-26}\times 3}{1.38\times 10^{-23}\times 300\times 700\times 10}$$

To multiply powers of the same base, add their exponents. Add -23 and 1 to get -22.

$$e\times \frac{-6.625\times 10^{-26}\times 3}{1.38\times 10^{-22}\times 300\times 700}$$

Cancel out 3 in both numerator and denominator.

$$e\times \frac{-6.625\times 10^{-26}}{1.38\times 100\times 700\times 10^{-22}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$e\times \frac{-6.625}{1.38\times 100\times 700\times 10^{4}}$$

Multiply 1.38 and 100 to get 138.

$$e\times \frac{-6.625}{138\times 700\times 10^{4}}$$

Multiply 138 and 700 to get 96600.

$$e\times \frac{-6.625}{96600\times 10^{4}}$$

Calculate 10 to the power of 4 and get 10000.

$$e\times \frac{-6.625}{96600\times 10000}$$

Multiply 96600 and 10000 to get 966000000.

$$e\times \frac{-6.625}{966000000}$$

Expand \frac{-6.625}{966000000} by multiplying both numerator and the denominator by 1000.

$$e\times \frac{-6625}{966000000000}$$

Reduce the fraction \frac{-6625}{966000000000} to lowest terms by extracting and canceling out 125.

$$e\left(-\frac{53}{7728000000}\right)$$