Solve (4*55*1.98*10^3*10^4)+(-2*55*-2.42*10^3*10^4)/2

$$\frac{ (4 \times 55 \times 1.98 \times { 10 }^{ 3 } \times { 10 }^{ 4 } )+(-2 \times 55 \times -2.42 \times { 10 }^{ 3 } \times { 10 }^{ 4 } ) }{ 2 }$$

Evaluate

$$3509000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$\frac{4\times 55\times 1.98\times 10^{7}-2\times 55\left(-2.42\right)\times 10^{3}\times 10^{4}}{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$\frac{4\times 55\times 1.98\times 10^{7}-2\times 55\left(-2.42\right)\times 10^{7}}{2}$$

Multiply 4 and 55 to get 220. Multiply -2 and 55 to get -110.

$$\frac{220\times 1.98\times 10^{7}-110\left(-2.42\right)\times 10^{7}}{2}$$

Multiply 220 and 1.98 to get 435.6.

$$\frac{435.6\times 10^{7}-110\left(-2.42\right)\times 10^{7}}{2}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{435.6\times 10000000-110\left(-2.42\right)\times 10^{7}}{2}$$

Multiply 435.6 and 10000000 to get 4356000000.

$$\frac{4356000000-110\left(-2.42\right)\times 10^{7}}{2}$$

Multiply -110 and -2.42 to get 266.2.

$$\frac{4356000000+266.2\times 10^{7}}{2}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{4356000000+266.2\times 10000000}{2}$$

Multiply 266.2 and 10000000 to get 2662000000.

$$\frac{4356000000+2662000000}{2}$$

Add 4356000000 and 2662000000 to get 7018000000.

$$\frac{7018000000}{2}$$

Divide 7018000000 by 2 to get 3509000000.

$$3509000000$$

Factor

$$29\times 2^{6}\times 5^{6}\times 11^{2}$$