Solve 10^3/10/frac{10^28{10^6}}

$$\frac{ \frac{ { 10 }^{ 3 } }{ 10 } }{ \frac{ { 10 }^{ 28 } }{ { 10 }^{ 6 } } }$$

Evaluate

$$\frac{1}{100000000000000000000}= 10^{-20}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 3 to get 2.

$$\frac{10^{2}}{\frac{10^{28}}{10^{6}}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 28 to get 22.

$$\frac{10^{2}}{10^{22}}$$

Rewrite 10^{22} as 10^{2}\times 10^{20}. Cancel out 10^{2} in both numerator and denominator.

$$\frac{1}{10^{20}}$$

Calculate 10 to the power of 20 and get 100000000000000000000.

$$\frac{1}{100000000000000000000}$$

Factor

$$\frac{1}{2 ^ {20} \cdot 5 ^ {20}} = 1 \times 10^{-20}$$