Solve 1/-8left(2(5^2)+3right)^2

$$\frac{ 1 }{ -8 { \left(2( { 5 }^{ 2 } )+3 \right) }^{ 2 } }$$

Evaluate

$$-\frac{1}{22472}\approx -0.0000445$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{1}{-8\left(2\times 25+3\right)^{2}}$$

Multiply 2 and 25 to get 50.

$$\frac{1}{-8\left(50+3\right)^{2}}$$

Add 50 and 3 to get 53.

$$\frac{1}{-8\times 53^{2}}$$

Calculate 53 to the power of 2 and get 2809.

$$\frac{1}{-8\times 2809}$$

Multiply -8 and 2809 to get -22472.

$$\frac{1}{-22472}$$

Fraction \frac{1}{-22472} can be rewritten as -\frac{1}{22472} by extracting the negative sign.

$$-\frac{1}{22472}$$

Factor

$$-\frac{1}{22472} = -4.4499822000712 \times 10^{-5}$$