Solve 20,000(1+.35/4)^(4)(10)

$$20,000 ( 1 + \frac { .35 } { 4 } ) ^ { ( 4 ) ( 10 ) }$$

Evaluate

$$573060.69312071493672094190582277958006502542316159740025586514140080178519549841516145837967356616255618625938981724435468401157578455240582115948200225830078125$$

Solution Steps

Expand \frac{0.35}{4} by multiplying both numerator and the denominator by 100.

$$20000\left(1+\frac{35}{400}\right)^{4\times 10}$$

Reduce the fraction \frac{35}{400} to lowest terms by extracting and canceling out 5.

$$20000\left(1+\frac{7}{80}\right)^{4\times 10}$$

Add 1 and \frac{7}{80} to get \frac{87}{80}.

$$20000\times \left(\frac{87}{80}\right)^{4\times 10}$$

Multiply 4 and 10 to get 40.

$$20000\times \left(\frac{87}{80}\right)^{40}$$

Calculate \frac{87}{80} to the power of 40 and get \frac{380864158289981321235918075109842556149019057244016251128747319138535757409601}{13292279957849158729038070602803445760000000000000000000000000000000000000000}.

$$20000\times \frac{380864158289981321235918075109842556149019057244016251128747319138535757409601}{13292279957849158729038070602803445760000000000000000000000000000000000000000}$$

Multiply 20000 and \frac{380864158289981321235918075109842556149019057244016251128747319138535757409601}{13292279957849158729038070602803445760000000000000000000000000000000000000000} to get \frac{380864158289981321235918075109842556149019057244016251128747319138535757409601}{664613997892457936451903530140172288000000000000000000000000000000000000}.

$$\frac{380864158289981321235918075109842556149019057244016251128747319138535757409601}{664613997892457936451903530140172288000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {40} \cdot 29 ^ {40}}{2 ^ {155} \cdot 5 ^ {36}} = 573060\frac{4.60657729326342 \times 10^{71}}{6.646139978924579 \times 10^{71}} = 573060.6931207149$$