Solve 6*10^-34*3*10^8/1250*10^-10*1.6*10^-19

$$\frac{ 6 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 1250 \times { 10 }^{ -10 } } \times 1.6 \times { 10 }^{ -19 }$$

Evaluate

$$0.0000000000000000000000000000000000002304$$

Solution Steps

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

$$\frac{6\times 10^{-26}\times 3}{1250\times 10^{-10}}\times 1.6\times 10^{-19}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 3\times 10^{-26}}{625\times 10^{-10}}\times 1.6\times 10^{-19}$$

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

$$\frac{3\times 3}{625\times 10^{16}}\times 1.6\times 10^{-19}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{625\times 10^{16}}\times 1.6\times 10^{-19}$$

Calculate 10 to the power of 16 and get 10000000000000000.

$$\frac{9}{625\times 10000000000000000}\times 1.6\times 10^{-19}$$

Multiply 625 and 10000000000000000 to get 6250000000000000000.

$$\frac{9}{6250000000000000000}\times 1.6\times 10^{-19}$$

Multiply \frac{9}{6250000000000000000} and 1.6 to get \frac{9}{3906250000000000000}.

$$\frac{9}{3906250000000000000}\times 10^{-19}$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$\frac{9}{3906250000000000000}\times \frac{1}{10000000000000000000}$$

Multiply \frac{9}{3906250000000000000} and \frac{1}{10000000000000000000} to get \frac{9}{39062500000000000000000000000000000000}.

$$\frac{9}{39062500000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {32} \cdot 5 ^ {40}} = 2.304 \times 10^{-37}$$