Solve 6.626*10^-34/9.1*10^-31*500*10^-15

$$6.626 \times \frac{ { 10 }^{ -34 } }{ 9.1 \times { 10 }^{ -31 } \times 500 \times { 10 }^{ -15 } }$$

Evaluate

$$\frac{132520000000}{91}\approx 1456263736.263736264$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -31 and -15 to get -46.

$$6.626\times \frac{10^{-34}}{9.1\times 10^{-46}\times 500}$$

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

$$6.626\times \frac{10^{12}}{9.1\times 500}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$6.626\times \frac{1000000000000}{9.1\times 500}$$

Multiply 9.1 and 500 to get 4550.

$$6.626\times \frac{1000000000000}{4550}$$

Reduce the fraction \frac{1000000000000}{4550} to lowest terms by extracting and canceling out 50.

$$6.626\times \frac{20000000000}{91}$$

Multiply 6.626 and \frac{20000000000}{91} to get \frac{132520000000}{91}.

$$\frac{132520000000}{91}$$

Factor

$$\frac{3313 \cdot 2 ^ {9} \cdot 5 ^ {7}}{7 \cdot 13} = 1456263736\frac{24}{91} = 1456263736.2637362$$