Solve 1(-3)^2*(-5/12)^2

$$1 ( - 3 ) ^ { 2 } \times ( \frac { - 5 } { 12 } ) ^ { 2 }$$

Evaluate

$$\frac{25}{16}=1.5625$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$1\times 9\times \left(\frac{-5}{12}\right)^{2}$$

Multiply 1 and 9 to get 9.

$$9\times \left(\frac{-5}{12}\right)^{2}$$

Fraction \frac{-5}{12} can be rewritten as -\frac{5}{12} by extracting the negative sign.

$$9\left(-\frac{5}{12}\right)^{2}$$

Calculate -\frac{5}{12} to the power of 2 and get \frac{25}{144}.

$$9\times \frac{25}{144}$$

Multiply 9 and \frac{25}{144} to get \frac{25}{16}.

$$\frac{25}{16}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {4}} = 1\frac{9}{16} = 1.5625$$