Solve 2*4*10^3/8*8*10^-2*10^-2=

$$\frac { 2 \cdot 4 \cdot 10 ^ { 3 } } { 8 \cdot 8 \cdot 10 ^ { - 2 } \cdot 10 ^ { - 2 } } =$$

Evaluate

$$1250000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -2 to get -4.

$$\frac{2\times 4\times 10^{3}}{8\times 8\times 10^{-4}}$$

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

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

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

$$\frac{10^{7}}{8}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{10000000}{8}$$

Divide 10000000 by 8 to get 1250000.

$$1250000$$

Factor

$$2^{4}\times 5^{7}$$