Solve 10^-3*10^5/10^1*10^4=

$$\frac { 10 ^ { - 3 } \cdot 10 ^ { 5 } } { 10 ^ { 1 } \cdot 10 ^ { 4 } } =$$

Evaluate

$$\frac{1}{1000}=0.001$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and 5 to get 2.

$$\frac{10^{2}}{10^{1}\times 10^{4}}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$\frac{10^{2}}{10^{5}}$$

Rewrite 10^{5} as 10^{2}\times 10^{3}. Cancel out 10^{2} in both numerator and denominator.

$$\frac{1}{10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{1}{1000}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {3}} = 0.001$$