Solve (9/3,1)^4:(7/frac{1{9}})

$$( \frac { 9 } { 3,1 } ) ^ { 4 } : ( \frac { 7 } { \frac { 1 } { 9 } } )$$

Evaluate

$$\frac{7290000}{6464647}\approx 1,127671782$$

Solution Steps

Expand \frac{9}{3,1} by multiplying both numerator and the denominator by 10.

$$\frac{\left(\frac{90}{31}\right)^{4}}{\frac{7}{\frac{1}{9}}}$$

Calculate \frac{90}{31} to the power of 4 and get \frac{65610000}{923521}.

$$\frac{\frac{65610000}{923521}}{\frac{7}{\frac{1}{9}}}$$

Divide 7 by \frac{1}{9} by multiplying 7 by the reciprocal of \frac{1}{9}.

$$\frac{\frac{65610000}{923521}}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$\frac{\frac{65610000}{923521}}{63}$$

Express \frac{\frac{65610000}{923521}}{63} as a single fraction.

$$\frac{65610000}{923521\times 63}$$

Multiply 923521 and 63 to get 58181823.

$$\frac{65610000}{58181823}$$

Reduce the fraction \frac{65610000}{58181823} to lowest terms by extracting and canceling out 9.

$$\frac{7290000}{6464647}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {6} \cdot 5 ^ {4}}{7 \cdot 31 ^ {4}} = 1\frac{825353}{6464647} = 1.1276717816146806$$