Use exponent properties to interpret exponential expressions, including percent growth and decay.
Compare two exponential expressions for equivalence by rewriting one with exponent rules
Problem
Compare exponential expressions \(5(2)^{t+3}\) and \(40(2)^t\) for equivalence.
Big Picture
What this problem is really about
Exponential equivalence becomes visible after both expressions share the same variable power. We’ll split the shifted exponent with the product rule, evaluate and combine the constant factors, and compare the resulting coefficient and base for every input.
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