Solve 1000x(300x^2)(50+250x^200)^2/500x500*550*450=

$$\frac { 1000 x ( 300 x ^ { 2 } ) ( 50 + 250 x ^ { 2 } 00 ) ^ { 2 } } { 500 x 500 \times 550 \times 450 } =$$

Evaluate

$$\frac{200x^{3}}{33x_{500}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{1000x^{3}\times 300\left(50+250x^{2}\times 0\times 0\right)^{2}}{500x_{500}\times 550\times 450}$$

Cancel out 2\times 6\times 25\times 500 in both numerator and denominator.

$$\frac{2\times 50^{2}x^{3}}{11\times 75x_{500}}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{2\times 2500x^{3}}{11\times 75x_{500}}$$

Multiply 2 and 2500 to get 5000.

$$\frac{5000x^{3}}{11\times 75x_{500}}$$

Multiply 11 and 75 to get 825.

$$\frac{5000x^{3}}{825x_{500}}$$

Cancel out 25 in both numerator and denominator.

$$\frac{200x^{3}}{33x_{500}}$$

Expand

$$\frac{200x^{3}}{33x_{500}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{1000x^{3}\times 300\left(50+250x^{2}\times 0\times 0\right)^{2}}{500x_{500}\times 550\times 450}$$

Cancel out 2\times 6\times 25\times 500 in both numerator and denominator.

$$\frac{2\times 50^{2}x^{3}}{11\times 75x_{500}}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{2\times 2500x^{3}}{11\times 75x_{500}}$$

Multiply 2 and 2500 to get 5000.

$$\frac{5000x^{3}}{11\times 75x_{500}}$$

Multiply 11 and 75 to get 825.

$$\frac{5000x^{3}}{825x_{500}}$$

Cancel out 25 in both numerator and denominator.

$$\frac{200x^{3}}{33x_{500}}$$