Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15 to the 𝘵 power can be rewritten as ((1.15 to the 1/12 power) to the 12𝘵 power) is approximately equal to (1.012 to the 12𝘵 power) to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
Seeing Structure in Expressions
- Write expressions in equivalent forms to solve problems, balancing conceptual understanding and procedural fluency in work with equivalent expressions.
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. For example, development of skill in factoring and completing the square goes hand in hand with understanding what different forms of a quadratic expression reveal.