Solve 578*10^-9/846*10^25*16*10^-19

$$\frac{ 578 \times { 10 }^{ -9 } }{ 846 \times { 10 }^{ 25 } \times 16 \times { 10 }^{ -19 } }$$

Evaluate

$$\frac{289}{6768000000000000000}\approx 4.270094563 \cdot 10^{-17}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 25 and -19 to get 6.

$$\frac{578\times 10^{-9}}{846\times 10^{6}\times 16}$$

Cancel out 2 in both numerator and denominator.

$$\frac{289\times 10^{-9}}{16\times 423\times 10^{6}}$$

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

$$\frac{289}{16\times 423\times 10^{15}}$$

Multiply 16 and 423 to get 6768.

$$\frac{289}{6768\times 10^{15}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{289}{6768\times 1000000000000000}$$

Multiply 6768 and 1000000000000000 to get 6768000000000000000.

$$\frac{289}{6768000000000000000}$$

Factor

$$\frac{17 ^ {2}}{2 ^ {19} \cdot 3 ^ {2} \cdot 5 ^ {15} \cdot 47} = 4.2700945626477536 \times 10^{-17}$$