Solve [(0,001)^4*100^7/10^5]:(0,01)

$$[ \frac { ( 0,001 ) ^ { 4 } \cdot 100 ^ { 7 } } { 10 ^ { 5 } } ] : ( 0,01 )$$

Evaluate

$$0,1$$

Solution Steps

Express \frac{\frac{0,001^{4}\times 100^{7}}{10^{5}}}{0,01} as a single fraction.

$$\frac{0,001^{4}\times 100^{7}}{10^{5}\times 0,01}$$

Calculate 0,001 to the power of 4 and get 0,000000000001.

$$\frac{0,000000000001\times 100^{7}}{10^{5}\times 0,01}$$

Calculate 100 to the power of 7 and get 100000000000000.

$$\frac{0,000000000001\times 100000000000000}{10^{5}\times 0,01}$$

Multiply 0,000000000001 and 100000000000000 to get 100.

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

Calculate 10 to the power of 5 and get 100000.

$$\frac{100}{100000\times 0,01}$$

Multiply 100000 and 0,01 to get 1000.

$$\frac{100}{1000}$$

Reduce the fraction \frac{100}{1000} to lowest terms by extracting and canceling out 100.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$