Solve (17/10)^12div1.7^11

$$( 1 \frac { 7 } { 10 } ) ^ { 12 } \div 1.7 ^ { 11 }$$

Evaluate

$$1.7$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{\left(\frac{10+7}{10}\right)^{12}}{1.7^{11}}$$

Add 10 and 7 to get 17.

$$\frac{\left(\frac{17}{10}\right)^{12}}{1.7^{11}}$$

Calculate \frac{17}{10} to the power of 12 and get \frac{582622237229761}{1000000000000}.

$$\frac{\frac{582622237229761}{1000000000000}}{1.7^{11}}$$

Calculate 1.7 to the power of 11 and get 342.71896307633.

$$\frac{\frac{582622237229761}{1000000000000}}{342.71896307633}$$

Express \frac{\frac{582622237229761}{1000000000000}}{342.71896307633} as a single fraction.

$$\frac{582622237229761}{1000000000000\times 342.71896307633}$$

Multiply 1000000000000 and 342.71896307633 to get 342718963076330.

$$\frac{582622237229761}{342718963076330}$$

Reduce the fraction \frac{582622237229761}{342718963076330} to lowest terms by extracting and canceling out 34271896307633.

$$\frac{17}{10}$$

Factor

$$\frac{17}{2 \cdot 5} = 1\frac{7}{10} = 1.7$$