Solve left(9.10right)^2+3.(-2)/3^2

$${ \left(9.10 \right) }^{ 2 } \frac{ +3.(-2) }{ { 3 }^{ 2 } }$$

Evaluate

$$-\frac{8281}{150}\approx -55.206666667$$

Solution Steps

Calculate 9.1 to the power of 2 and get 82.81.

$$82.81\times \frac{3\left(-2\right)}{3^{2}}$$

Cancel out 3 in both numerator and denominator.

$$82.81\times \frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$82.81\left(-\frac{2}{3}\right)$$

Convert decimal number 82.81 to fraction \frac{8281}{100}.

$$\frac{8281}{100}\left(-\frac{2}{3}\right)$$

Multiply \frac{8281}{100} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8281\left(-2\right)}{100\times 3}$$

Do the multiplications in the fraction \frac{8281\left(-2\right)}{100\times 3}.

$$\frac{-16562}{300}$$

Reduce the fraction \frac{-16562}{300} to lowest terms by extracting and canceling out 2.

$$-\frac{8281}{150}$$

Factor

$$-\frac{8281}{150} = -55\frac{31}{150} = -55.20666666666666$$