Solve 2^-3*{left(-1/2right)}^-2+3^-2*{left(-1/3right)}^-2

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

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{1}{8}\left(-\frac{1}{2}\right)^{-2}+3^{-2}\left(-\frac{1}{3}\right)^{-2}$$

Calculate -\frac{1}{2} to the power of -2 and get 4.

$$\frac{1}{8}\times 4+3^{-2}\left(-\frac{1}{3}\right)^{-2}$$

Multiply \frac{1}{8} and 4 to get \frac{1}{2}.

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

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

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

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

$$\frac{1}{2}+\frac{1}{9}\times 9$$

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

$$\frac{1}{2}+1$$

Add \frac{1}{2} and 1 to get \frac{3}{2}.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$