Solve 45/7-(+5/7+24/9)^22

$$4 \frac { 5 } { 7 } - ( + \frac { 5 } { 7 } + 2 \frac { 4 } { 9 } ) ^ { 22 }$$

Evaluate

$$-\frac{375636409740155566694637461776917178552989874708090}{3850278001389542025943356831719778839169}\approx -97560853944.725721117$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28+5}{7}-\left(\frac{5}{7}+\frac{2\times 9+4}{9}\right)^{22}$$

Add 28 and 5 to get 33.

$$\frac{33}{7}-\left(\frac{5}{7}+\frac{2\times 9+4}{9}\right)^{22}$$

Multiply 2 and 9 to get 18.

$$\frac{33}{7}-\left(\frac{5}{7}+\frac{18+4}{9}\right)^{22}$$

Add 18 and 4 to get 22.

$$\frac{33}{7}-\left(\frac{5}{7}+\frac{22}{9}\right)^{22}$$

Add \frac{5}{7} and \frac{22}{9} to get \frac{199}{63}.

$$\frac{33}{7}-\left(\frac{199}{63}\right)^{22}$$

Calculate \frac{199}{63} to the power of 22 and get \frac{375636409758306877272616731327793003616811689235601}{3850278001389542025943356831719778839169}.

$$\frac{33}{7}-\frac{375636409758306877272616731327793003616811689235601}{3850278001389542025943356831719778839169}$$

Subtract \frac{375636409758306877272616731327793003616811689235601}{3850278001389542025943356831719778839169} from \frac{33}{7} to get -\frac{375636409740155566694637461776917178552989874708090}{3850278001389542025943356831719778839169}.

$$-\frac{375636409740155566694637461776917178552989874708090}{3850278001389542025943356831719778839169}$$