Solve -3^{2}*1.2^{2}div(-0.3)^3+(-1/3)^2*(-3)^3div(-1)^25

$$- 3 ^ { 2 } \times 1.2 ^ { 2 } \div ( - 0.3 ) ^ { 3 } + ( - \frac { 1 } { 3 } ) ^ { 2 } \times ( - 3 ) ^ { 3 } \div ( - 1 ) ^ { 25 }$$

Evaluate

$$483$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-9\times 1.2^{2}}{\left(-0.3\right)^{3}}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calculate 1.2 to the power of 2 and get 1.44.

$$\frac{-9\times 1.44}{\left(-0.3\right)^{3}}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Multiply -9 and 1.44 to get -12.96.

$$\frac{-12.96}{\left(-0.3\right)^{3}}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calculate -0.3 to the power of 3 and get -0.027.

$$\frac{-12.96}{-0.027}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Expand \frac{-12.96}{-0.027} by multiplying both numerator and the denominator by 1000.

$$\frac{-12960}{-27}+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Divide -12960 by -27 to get 480.

$$480+\frac{\left(-\frac{1}{3}\right)^{2}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$480+\frac{\frac{1}{9}\left(-3\right)^{3}}{\left(-1\right)^{25}}$$

Calculate -3 to the power of 3 and get -27.

$$480+\frac{\frac{1}{9}\left(-27\right)}{\left(-1\right)^{25}}$$

Multiply \frac{1}{9} and -27 to get \frac{-27}{9}.

$$480+\frac{\frac{-27}{9}}{\left(-1\right)^{25}}$$

Divide -27 by 9 to get -3.

$$480+\frac{-3}{\left(-1\right)^{25}}$$

Calculate -1 to the power of 25 and get -1.

$$480+\frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$480+3$$

Add 480 and 3 to get 483.

$$483$$

Factor

$$3\times 7\times 23$$