Solve 200[1+0,05/0,05*1^48-1/1+9^0,54^8]

$$200 [ \frac { 1 + 0,05 } { 0,05 } \cdot \frac { 1 ^ { 48 } - 1 } { 1 + 9 ^ { 0,5 } 4 ^ { 8 } } ]$$

Evaluate

$$0$$

Solution Steps

Add 1 and 0,05 to get 1,05.

$$200\times \frac{1,05}{0,05}\times \frac{1^{48}-1}{1+9^{0,5}\times 4^{8}}$$

Expand \frac{1,05}{0,05} by multiplying both numerator and the denominator by 100.

$$200\times \frac{105}{5}\times \frac{1^{48}-1}{1+9^{0,5}\times 4^{8}}$$

Divide 105 by 5 to get 21.

$$200\times 21\times \frac{1^{48}-1}{1+9^{0,5}\times 4^{8}}$$

Multiply 200 and 21 to get 4200.

$$4200\times \frac{1^{48}-1}{1+9^{0,5}\times 4^{8}}$$

Calculate 1 to the power of 48 and get 1.

$$4200\times \frac{1-1}{1+9^{0,5}\times 4^{8}}$$

Subtract 1 from 1 to get 0.

$$4200\times \frac{0}{1+9^{0,5}\times 4^{8}}$$

Calculate 9 to the power of 0,5 and get 3.

$$4200\times \frac{0}{1+3\times 4^{8}}$$

Calculate 4 to the power of 8 and get 65536.

$$4200\times \frac{0}{1+3\times 65536}$$

Multiply 3 and 65536 to get 196608.

$$4200\times \frac{0}{1+196608}$$

Add 1 and 196608 to get 196609.

$$4200\times \frac{0}{196609}$$

Zero divided by any non-zero number gives zero.

$$4200\times 0$$

Multiply 4200 and 0 to get 0.

$$0$$

Factor

$$0$$