Solve 1700=800{left(1+9.2/12right)}^20

$$1700 = 800 { \left(1+ \frac{ 9.2 }{ 12 } \right) }^{ 20 }$$

Verify

Solution Steps

Expand \frac{9.2}{12} by multiplying both numerator and the denominator by 10.

$$1700=800\left(1+\frac{92}{120}\right)^{20}$$

Reduce the fraction \frac{92}{120} to lowest terms by extracting and canceling out 4.

$$1700=800\left(1+\frac{23}{30}\right)^{20}$$

Add 1 and \frac{23}{30} to get \frac{53}{30}.

$$1700=800\times \left(\frac{53}{30}\right)^{20}$$

Calculate \frac{53}{30} to the power of 20 and get \frac{30585627290848204916791848989276401}{348678440100000000000000000000}.

$$1700=800\times \frac{30585627290848204916791848989276401}{348678440100000000000000000000}$$

Multiply 800 and \frac{30585627290848204916791848989276401}{348678440100000000000000000000} to get \frac{30585627290848204916791848989276401}{435848050125000000000000000}.

$$1700=\frac{30585627290848204916791848989276401}{435848050125000000000000000}$$

Convert 1700 to fraction \frac{740941685212500000000000000000}{435848050125000000000000000}.

$$\frac{740941685212500000000000000000}{435848050125000000000000000}=\frac{30585627290848204916791848989276401}{435848050125000000000000000}$$

Compare \frac{740941685212500000000000000000}{435848050125000000000000000} and \frac{30585627290848204916791848989276401}{435848050125000000000000000}.

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