Solve 7,7-23^9/15,7^2+4,6^2

$$\frac { 7,7 - 23 ^ { 9 } } { 15,7 ^ { 2 } + 4,6 ^ { 2 } }$$

Evaluate

$$-\frac{6003842204851}{2930}\approx -2049092902,679522184$$

Solution Steps

Calculate 23 to the power of 9 and get 1801152661463.

$$\frac{7,7-1801152661463}{15\times 7^{2}+4\times 6^{2}}$$

Subtract 1801152661463 from 7,7 to get -1801152661455,3.

$$\frac{-1801152661455,3}{15\times 7^{2}+4\times 6^{2}}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{-1801152661455,3}{15\times 49+4\times 6^{2}}$$

Multiply 15 and 49 to get 735.

$$\frac{-1801152661455,3}{735+4\times 6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{-1801152661455,3}{735+4\times 36}$$

Multiply 4 and 36 to get 144.

$$\frac{-1801152661455,3}{735+144}$$

Add 735 and 144 to get 879.

$$\frac{-1801152661455,3}{879}$$

Expand \frac{-1801152661455,3}{879} by multiplying both numerator and the denominator by 10.

$$\frac{-18011526614553}{8790}$$

Reduce the fraction \frac{-18011526614553}{8790} to lowest terms by extracting and canceling out 3.

$$-\frac{6003842204851}{2930}$$

Factor

$$-\frac{6003842204851}{2930} = -2049092902\frac{1991}{2930} = -2049092902.6795223$$