Solve 3.34*1.610^-19+1/2*9.1110^-31*10

$$3.34 \cdot 1.6 { 10 }^{ -19 } + \frac{ 1 }{ 2 } \times 9.11 { 10 }^{ -31 } \times 10$$

Evaluate

$$0.000000000000000000534400000004555$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -31 and 1 to get -30.

$$3.34\times 1.6\times 10^{-19}+\frac{1}{2}\times 9.11\times 10^{-30}$$

Multiply 3.34 and 1.6 to get 5.344.

$$5.344\times 10^{-19}+\frac{1}{2}\times 9.11\times 10^{-30}$$

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

$$5.344\times \frac{1}{10000000000000000000}+\frac{1}{2}\times 9.11\times 10^{-30}$$

Multiply 5.344 and \frac{1}{10000000000000000000} to get \frac{167}{312500000000000000000}.

$$\frac{167}{312500000000000000000}+\frac{1}{2}\times 9.11\times 10^{-30}$$

Multiply \frac{1}{2} and 9.11 to get \frac{911}{200}.

$$\frac{167}{312500000000000000000}+\frac{911}{200}\times 10^{-30}$$

Calculate 10 to the power of -30 and get \frac{1}{1000000000000000000000000000000}.

$$\frac{167}{312500000000000000000}+\frac{911}{200}\times \frac{1}{1000000000000000000000000000000}$$

Multiply \frac{911}{200} and \frac{1}{1000000000000000000000000000000} to get \frac{911}{200000000000000000000000000000000}.

$$\frac{167}{312500000000000000000}+\frac{911}{200000000000000000000000000000000}$$

Add \frac{167}{312500000000000000000} and \frac{911}{200000000000000000000000000000000} to get \frac{106880000000911}{200000000000000000000000000000000}.

$$\frac{106880000000911}{200000000000000000000000000000000}$$

Factor

$$\frac{17 \cdot 6287058823583}{2 ^ {33} \cdot 5 ^ {32}} = 5.34400000004555 \times 10^{-19}$$