Solve 1,25/1,25-1*2*10^4*0,045[(10/2)^frac{1,25{1,25}}-1]

$$\frac { 1,25 } { 1,25 - 1 } \times 2 \times 10 ^ { 4 } \times 0,045 [ ( \frac { 10 } { 2 } ) ^ { \frac { 1,25 } { 1,25 } } - 1 ]$$

Evaluate

$$18000$$

Solution Steps

Divide 1,25 by 1,25 to get 1.

$$\frac{1,25}{1,25-1}\times 2\times 10^{4}\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Subtract 1 from 1,25 to get 0,25.

$$\frac{1,25}{0,25}\times 2\times 10^{4}\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Expand \frac{1,25}{0,25} by multiplying both numerator and the denominator by 100.

$$\frac{125}{25}\times 2\times 10^{4}\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Divide 125 by 25 to get 5.

$$5\times 2\times 10^{4}\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Multiply 5 and 2 to get 10.

$$10\times 10^{4}\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Calculate 10 to the power of 4 and get 10000.

$$10\times 10000\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Multiply 10 and 10000 to get 100000.

$$100000\times 0,045\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Multiply 100000 and 0,045 to get 4500.

$$4500\left(\left(\frac{10}{2}\right)^{1}-1\right)$$

Divide 10 by 2 to get 5.

$$4500\left(5^{1}-1\right)$$

Calculate 5 to the power of 1 and get 5.

$$4500\left(5-1\right)$$

Subtract 1 from 5 to get 4.

$$4500\times 4$$

Multiply 4500 and 4 to get 18000.

$$18000$$

Factor

$$2^{4}\times 3^{2}\times 5^{3}$$