Solve 1000(1+0.05/2)^(1)(1)

$$1000 ( 1 + \frac { 0.05 } { 2 } ) ^ { ( 1 ) ( 1 ) }$$

Evaluate

$$1025$$

Solution Steps

Expand \frac{0.05}{2} by multiplying both numerator and the denominator by 100.

$$1000\left(1+\frac{5}{200}\right)^{1\times 1}$$

Reduce the fraction \frac{5}{200} to lowest terms by extracting and canceling out 5.

$$1000\left(1+\frac{1}{40}\right)^{1\times 1}$$

Add 1 and \frac{1}{40} to get \frac{41}{40}.

$$1000\times \left(\frac{41}{40}\right)^{1\times 1}$$

Multiply 1 and 1 to get 1.

$$1000\times \left(\frac{41}{40}\right)^{1}$$

Calculate \frac{41}{40} to the power of 1 and get \frac{41}{40}.

$$1000\times \frac{41}{40}$$

Multiply 1000 and \frac{41}{40} to get 1025.

$$1025$$

Factor

$$41\times 5^{2}$$