Solve 3^-2+5^0-3^-15

$${ 3 }^{ -2 } + { 5 }^{ 0 } - { 3 }^{ -1 } 5$$

Evaluate

$$-\frac{5}{9}\approx -0.555555556$$

Solution Steps

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

$$\frac{1}{9}+5^{0}-3^{-1}\times 5$$

Calculate 5 to the power of 0 and get 1.

$$\frac{1}{9}+1-3^{-1}\times 5$$

Add \frac{1}{9} and 1 to get \frac{10}{9}.

$$\frac{10}{9}-3^{-1}\times 5$$

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

$$\frac{10}{9}-\frac{1}{3}\times 5$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$\frac{10}{9}-\frac{5}{3}$$

Subtract \frac{5}{3} from \frac{10}{9} to get -\frac{5}{9}.

$$-\frac{5}{9}$$

Factor

$$-\frac{5}{9} = -0.5555555555555556$$