Solve 8*10^4/2*10^2+(6.2*10^3*2.0*10^-2)

$$\frac { 8 \times 10 ^ { 4 } } { 2 \times 10 ^ { 2 } } + ( 6.2 \times 10 ^ { 3 } \times 2.0 \times 10 ^ { - 2 } )$$

Evaluate

$$524$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and -2 to get 1.

$$\frac{8\times 10^{4}}{2\times 10^{2}}+6.2\times 10^{1}\times 2$$

Cancel out 2\times 10^{2} in both numerator and denominator.

$$4\times 10^{2}+6.2\times 10^{1}\times 2$$

Calculate 10 to the power of 1 and get 10.

$$4\times 10^{2}+6.2\times 10\times 2$$

Multiply 6.2 and 10 to get 62.

$$4\times 10^{2}+62\times 2$$

Multiply 62 and 2 to get 124.

$$4\times 10^{2}+124$$

Calculate 10 to the power of 2 and get 100.

$$4\times 100+124$$

Multiply 4 and 100 to get 400.

$$400+124$$

Add 400 and 124 to get 524.

$$524$$

Factor

$$131\times 2^{2}$$