25*(1.06)^5
You asked:
Evaluate the expression: \(25 \cdot {1.06}^{5}\)
MathBot Answer:
\[25 \cdot {1.06}^{5} = \frac{418195493}{12500000} = 33.45563944\]
\[\begin{aligned}25 \cdot {1.06}^{5}& = 25 \cdot \left(1 + \frac{6}{100}\right)^{5}\\& = 25 \cdot \left(1 + \frac{3}{50}\right)^{5}\\& = 25 \cdot \left(\frac{53}{50}\right)^{5}\\& = 25 \cdot \frac{418195493}{312500000}\\& = \frac{418195493}{12500000}\end{aligned}\]