What is 20000(1+(0.045)/(12))^{12*7} ?

The solution to 20000(1+(0.045)/(12))^{12*7} is (803^{84})/(25^{82)*32^{83}}

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simplify 20000(1+(0.045)/(12))^{12*7}

simplify

20000 (1 + \frac{0.045}{12})^{12 \cdot 7}

\frac{80 3 ^{84}}{2 5 ^{82} \cdot 3 2 ^{83}}

Decimal Notation

27389.04513 \dots

Solution steps

20000 (1 + \frac{0.045}{12})^{12 \cdot 7}

Multiply the numbers:

12 \cdot 7 = 84

= 20000 (1 + \frac{0.045}{12})^{84}

Simplify

1 + \frac{0.045}{12} : \frac{803}{800}

= 20000 (\frac{803}{800})^{84}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{803}{800})^{84} = \frac{80 3 ^{84}}{80 0 ^{84}}

= 20000 \cdot \frac{80 3 ^{84}}{80 0 ^{84}}

20000 \cdot \frac{80 3 ^{84}}{80 0 ^{84}} = \frac{80 3 ^{84}}{2 5 ^{82} \cdot 3 2 ^{83}}

= \frac{80 3 ^{84}}{2 5 ^{82} \cdot 3 2 ^{83}}

1.5 (4 - x) = 1.3 (2 - x)

3 x^{2} + 4 x + 8 = 0

\frac{1}{7 ^{- 2}}

2 (5 - w) (2 w + 5) > 0

\frac{7 - i}{3 + i}

What is 20000(1+(0.045)/(12))^{12*7} ?
The solution to 20000(1+(0.045)/(12))^{12*7} is (803^{84})/(25^{82)*32^{83}}