Solve [(0,001)^9*100^2/10^5]*(0,01)^3=

$$[ \frac { ( 0,001 ) ^ { 9 } \cdot 100 ^ { 2 } } { 10 ^ { 5 } } ] \cdot ( 0,01 ) ^ { 3 } =$$

Evaluate

$$0,0000000000000000000000000000000001$$

Solution Steps

Calculate 0,001 to the power of 9 and get 0,000000000000000000000000001.

$$\frac{0,000000000000000000000000001\times 100^{2}}{10^{5}}\times 0,01^{3}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{0,000000000000000000000000001\times 10000}{10^{5}}\times 0,01^{3}$$

Multiply 0,000000000000000000000000001 and 10000 to get 0,00000000000000000000001.

$$\frac{0,00000000000000000000001}{10^{5}}\times 0,01^{3}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{0,00000000000000000000001}{100000}\times 0,01^{3}$$

Expand \frac{0,00000000000000000000001}{100000} by multiplying both numerator and the denominator by 100000000000000000000000.

$$\frac{1}{10000000000000000000000000000}\times 0,01^{3}$$

Calculate 0,01 to the power of 3 and get 0,000001.

$$\frac{1}{10000000000000000000000000000}\times 0,000001$$

Convert decimal number 0,000001 to fraction \frac{1}{1000000}.

$$\frac{1}{10000000000000000000000000000}\times \frac{1}{1000000}$$

Multiply \frac{1}{10000000000000000000000000000} times \frac{1}{1000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{10000000000000000000000000000\times 1000000}$$

Do the multiplications in the fraction \frac{1\times 1}{10000000000000000000000000000\times 1000000}.

$$\frac{1}{10000000000000000000000000000000000}$$

Factor

$$\frac{1}{2 ^ {34} \cdot 5 ^ {34}} = 1.0000000000000002 \times 10^{-34}$$