Solve -6(30)+10(30)+300/(30^2+60(50))^2

$$- \frac { 6 ( 30 ) + 10 ( 30 ) + 300 } { ( 30 ^ { 2 } + 60 ( 50 ) ) ^ { 2 } }$$

Evaluate

$$-\frac{1}{19500}\approx -0.000051282$$

Solution Steps

Do the multiplications.

$$-\frac{180+300+300}{\left(30^{2}+60\times 50\right)^{2}}$$

Add 180 and 300 to get 480.

$$-\frac{480+300}{\left(30^{2}+60\times 50\right)^{2}}$$

Add 480 and 300 to get 780.

$$-\frac{780}{\left(30^{2}+60\times 50\right)^{2}}$$

Calculate 30 to the power of 2 and get 900.

$$-\frac{780}{\left(900+60\times 50\right)^{2}}$$

Multiply 60 and 50 to get 3000.

$$-\frac{780}{\left(900+3000\right)^{2}}$$

Add 900 and 3000 to get 3900.

$$-\frac{780}{3900^{2}}$$

Calculate 3900 to the power of 2 and get 15210000.

$$-\frac{780}{15210000}$$

Reduce the fraction \frac{780}{15210000} to lowest terms by extracting and canceling out 780.

$$-\frac{1}{19500}$$

Factor

$$-\frac{1}{19500} = -5.128205128205128 \times 10^{-5}$$