Solve [{-81/-7}^2-(-9)]*(-11)+(-1)

$$[ \{ \frac { - 81 } { - 7 } \} ^ { 2 } - ( - 9 ) ] \cdot ( - 11 ) + ( - 1 )$$

Evaluate

$$-\frac{77071}{49}\approx -1572.87755102$$

Solution Steps

Fraction \frac{-81}{-7} can be simplified to \frac{81}{7} by removing the negative sign from both the numerator and the denominator.

$$\left(\left(\frac{81}{7}\right)^{2}-\left(-9\right)\right)\left(-11\right)-1$$

Calculate \frac{81}{7} to the power of 2 and get \frac{6561}{49}.

$$\left(\frac{6561}{49}-\left(-9\right)\right)\left(-11\right)-1$$

The opposite of -9 is 9.

$$\left(\frac{6561}{49}+9\right)\left(-11\right)-1$$

Add \frac{6561}{49} and 9 to get \frac{7002}{49}.

$$\frac{7002}{49}\left(-11\right)-1$$

Multiply \frac{7002}{49} and -11 to get -\frac{77022}{49}.

$$-\frac{77022}{49}-1$$

Subtract 1 from -\frac{77022}{49} to get -\frac{77071}{49}.

$$-\frac{77071}{49}$$

Factor

$$-\frac{77071}{49} = -1572\frac{43}{49} = -1572.8775510204082$$