Solve 1(3.5*10^7+11*10^6)*7*5*10^11/2*10^-22

$$\frac { 1 ( 3.5 \cdot 10 ^ { 7 } + 11 \cdot 10 ^ { 6 } ) \cdot 7 \cdot 5 \cdot 10 ^ { 11 } } { 2 \cdot 10 ^ { - 22 } }$$

Evaluate

$$805000000000000000000000000000000000000000$$

Solution Steps

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

$$\frac{5\times 7\times 10^{33}\left(3.5\times 10^{7}+11\times 10^{6}\right)}{2}$$

Multiply 5 and 7 to get 35.

$$\frac{35\times 10^{33}\left(3.5\times 10^{7}+11\times 10^{6}\right)}{2}$$

Calculate 10 to the power of 33 and get 1000000000000000000000000000000000.

$$\frac{35\times 1000000000000000000000000000000000\left(3.5\times 10^{7}+11\times 10^{6}\right)}{2}$$

Multiply 35 and 1000000000000000000000000000000000 to get 35000000000000000000000000000000000.

$$\frac{35000000000000000000000000000000000\left(3.5\times 10^{7}+11\times 10^{6}\right)}{2}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{35000000000000000000000000000000000\left(3.5\times 10000000+11\times 10^{6}\right)}{2}$$

Multiply 3.5 and 10000000 to get 35000000.

$$\frac{35000000000000000000000000000000000\left(35000000+11\times 10^{6}\right)}{2}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{35000000000000000000000000000000000\left(35000000+11\times 1000000\right)}{2}$$

Multiply 11 and 1000000 to get 11000000.

$$\frac{35000000000000000000000000000000000\left(35000000+11000000\right)}{2}$$

Add 35000000 and 11000000 to get 46000000.

$$\frac{35000000000000000000000000000000000\times 46000000}{2}$$

Multiply 35000000000000000000000000000000000 and 46000000 to get 1610000000000000000000000000000000000000000.

$$\frac{1610000000000000000000000000000000000000000}{2}$$

Divide 1610000000000000000000000000000000000000000 by 2 to get 805000000000000000000000000000000000000000.

$$805000000000000000000000000000000000000000$$

Factor

$$7\times 23\times 2^{39}\times 5^{40}$$