احسب \( (1.05)^3 \):

["How to Calculate (1.05)^3: A Step-by-Step Guide", "If you’ve ever wondered how to compute ( (1.05)^3 ), this article breaks it down simply and clearly. Whether you're dealing with compound interest, growth rates, or basic exponentiation, understanding how to calculate powers like this is essential.", "What Does ( (1.05)^3 ) Mean?", "Mathematically, ( (1.05)^3 ) means multiplying 1.05 by itself three times:", "[\n(1.05)^3 = 1.05 \ imes 1.05 \ imes 1.05\n]", "This expression represents a 3-step growth at a 5% rate per period—commonly used in finance, economics, and science.", "Step-by-Step Calculation", "1. First Multiplication:\nStart with ( 1.05 \ imes 1.05 )", "[\n1.05 \ imes 1.05 = 1.1025\n]", "2. Second Multiplication:\nNow multiply the result by 1.05 once more:", "[\n1.1025 \ imes 1.05\n]", "Break it down using distributive property for clarity:", "[\n1.1025 \ imes 1.05 = 1.1025 \ imes (1 + 0.05) = (1.1025 \ imes 1) + (1.1025 \ imes 0.05) = 1.1025 + 0.055125 = 1.157625\n]", "Final Result:\nSo,\n[\n(1.05)^3 = 1.157625\n]", "Practical Use: Compound Growth", "For example, if you invest $100 at 5% annual interest compounded yearly, your investment after 3 years is:", "[\n100 \ imes (1.05)^3 = 100 \ imes 1.157625 = $115.7625\n]", "Conclusion", "Calculating ( (1.05)^3 ) is straightforward: multiply 1.05 by itself three times to get 1.157625. This value is powerful in modeling growth over time and demonstrates how small consistent increases compound effectively.", "Keywords: \n(1.05)^3 # exponentiation # compound interest calculation # math tutorial # growth rate # financial math # step-by-step calculation # exponent calculation\nMeta Description:\nLearn how to calculate ( (1.05)^3 ) step-by-step. Discover its real-world use in compound interest with easy math examples and practical applications."]