Solve 2^-114/5(5^2+9)

$$2 ^ { - 1 } \frac { 14 } { 5 ( 5 ^ { 2 } + 9 ) }$$

Evaluate

$$\frac{7}{170}\approx 0.041176471$$

Solution Steps

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

$$\frac{1}{2}\times \frac{14}{5\left(5^{2}+9\right)}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{1}{2}\times \frac{14}{5\left(25+9\right)}$$

Add 25 and 9 to get 34.

$$\frac{1}{2}\times \frac{14}{5\times 34}$$

Multiply 5 and 34 to get 170.

$$\frac{1}{2}\times \frac{14}{170}$$

Reduce the fraction \frac{14}{170} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{7}{85}$$

Multiply \frac{1}{2} and \frac{7}{85} to get \frac{7}{170}.

$$\frac{7}{170}$$

Factor

$$\frac{7}{2 \cdot 5 \cdot 17} = 0.041176470588235294$$