Solve 1-(1+(6%/4))^-24

$$1 - ( 1 + ( 6 \% / 4 ) ) ^ { - 24 }$$

Evaluate

$$\frac{7205861448340630903998636438329831903422503932347266081}{23983077448340630903998636438329831903422503932347266081}\approx 0.30045608$$

Solution Steps

Express \frac{\frac{6}{100}}{4} as a single fraction.

$$1-\left(1+\frac{6}{100\times 4}\right)^{-24}$$

Multiply 100 and 4 to get 400.

$$1-\left(1+\frac{6}{400}\right)^{-24}$$

Reduce the fraction \frac{6}{400} to lowest terms by extracting and canceling out 2.

$$1-\left(1+\frac{3}{200}\right)^{-24}$$

Add 1 and \frac{3}{200} to get \frac{203}{200}.

$$1-\left(\frac{203}{200}\right)^{-24}$$

Calculate \frac{203}{200} to the power of -24 and get \frac{16777216000000000000000000000000000000000000000000000000}{23983077448340630903998636438329831903422503932347266081}.

$$1-\frac{16777216000000000000000000000000000000000000000000000000}{23983077448340630903998636438329831903422503932347266081}$$

Subtract \frac{16777216000000000000000000000000000000000000000000000000}{23983077448340630903998636438329831903422503932347266081} from 1 to get \frac{7205861448340630903998636438329831903422503932347266081}{23983077448340630903998636438329831903422503932347266081}.

$$\frac{7205861448340630903998636438329831903422503932347266081}{23983077448340630903998636438329831903422503932347266081}$$