Solve =(1.00*10^2)(8.00*10^-2)/(4.00*10^-3)(4.00)

$$= \frac { ( 1.00 \times 10 ^ { 2 } ) ( 8.00 \times 10 ^ { - 2 } ) } { ( 4.00 \times 10 ^ { - 3 } ) ( 4.00 ) }$$

Evaluate

$$500$$

Solution Steps

Multiply 10^{2} and 10^{-2} to get 1.

$$\frac{1\times 8}{4\times 10^{-3}\times 4}$$

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{1}{2\times 10^{-3}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1}{2\times \frac{1}{1000}}$$

Multiply 2 and \frac{1}{1000} to get \frac{1}{500}.

$$\frac{1}{\frac{1}{500}}$$

Divide 1 by \frac{1}{500} by multiplying 1 by the reciprocal of \frac{1}{500}.

$$1\times 500$$

Multiply 1 and 500 to get 500.

$$500$$

Factor

$$2^{2}\times 5^{3}$$