Solve 5000000=(1+{left(.02/12right)}^2-12*6

$$5000000=(1+ { \left( \frac{ .02 }{ 12 } \right) }^{ 2-12 \times 6 }$$

Verify

Solution Steps

Expand \frac{0.02}{12} by multiplying both numerator and the denominator by 100.

$$5000000=1+\left(\frac{2}{1200}\right)^{2-12\times 6}$$

Reduce the fraction \frac{2}{1200} to lowest terms by extracting and canceling out 2.

$$5000000=1+\left(\frac{1}{600}\right)^{2-12\times 6}$$

Multiply 12 and 6 to get 72.

$$5000000=1+\left(\frac{1}{600}\right)^{2-72}$$

Subtract 72 from 2 to get -70.

$$5000000=1+\left(\frac{1}{600}\right)^{-70}$$

Calculate \frac{1}{600} to the power of -70 and get 295520441454768124465870765979045538167132932305164697600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$5000000=1+295520441454768124465870765979045538167132932305164697600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Add 1 and 295520441454768124465870765979045538167132932305164697600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 to get 295520441454768124465870765979045538167132932305164697600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001.

$$5000000=295520441454768124465870765979045538167132932305164697600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001$$

Compare 5000000 and 295520441454768124465870765979045538167132932305164697600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001.

$$\text{false}$$