Solve 1.09*10^7*6.626*10^-34*3*10^8

$$1.09 \times { 10 }^{ 7 } \times 6.626 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 }$$

Evaluate

$$0.000000000000000002166702$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 7 and -34 to get -27.

$$1.09\times 10^{-27}\times 6.626\times 3\times 10^{8}$$

To multiply powers of the same base, add their exponents. Add -27 and 8 to get -19.

$$1.09\times 10^{-19}\times 6.626\times 3$$

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

$$1.09\times \frac{1}{10000000000000000000}\times 6.626\times 3$$

Multiply 1.09 and \frac{1}{10000000000000000000} to get \frac{109}{1000000000000000000000}.

$$\frac{109}{1000000000000000000000}\times 6.626\times 3$$

Multiply \frac{109}{1000000000000000000000} and 6.626 to get \frac{361117}{500000000000000000000000}.

$$\frac{361117}{500000000000000000000000}\times 3$$

Multiply \frac{361117}{500000000000000000000000} and 3 to get \frac{1083351}{500000000000000000000000}.

$$\frac{1083351}{500000000000000000000000}$$

Factor

$$\frac{3 \cdot 109 \cdot 3313}{2 ^ {23} \cdot 5 ^ {24}} = 2.166702 \times 10^{-18}$$