Solve 4.3*4.8*10^-18/10^-28*8.3*10^-20

$$\frac{ 4.3 \times 4.8 \times { 10 }^{ -18 } }{ { 10 }^{ -28 } \times 8.3 \times { 10 }^{ -20 } }$$

Evaluate

$$\frac{206400000000000000000000000000000}{83}\approx 2.486746988 \cdot 10^{30}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -28 and -20 to get -48.

$$\frac{4.3\times 4.8\times 10^{-18}}{10^{-48}\times 8.3}$$

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

$$\frac{4.3\times 4.8\times 10^{30}}{8.3}$$

Multiply 4.3 and 4.8 to get 20.64.

$$\frac{20.64\times 10^{30}}{8.3}$$

Calculate 10 to the power of 30 and get 1000000000000000000000000000000.

$$\frac{20.64\times 1000000000000000000000000000000}{8.3}$$

Multiply 20.64 and 1000000000000000000000000000000 to get 20640000000000000000000000000000.

$$\frac{20640000000000000000000000000000}{8.3}$$

Expand \frac{20640000000000000000000000000000}{8.3} by multiplying both numerator and the denominator by 10.

$$\frac{206400000000000000000000000000000}{83}$$

Factor

$$\frac{3 \cdot 43 \cdot 2 ^ {33} \cdot 5 ^ {29}}{83} = 2.4867469879518067 \times 10^{30}\frac{80}{83} = 2.4867469879518067 \times 10^{30}$$