Problem preview

F-IF.8.b Warmup M2-024-A05-V04

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 \(6(3)^{t+1}\) and \(12(3)^t\) for equivalence.

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No. 6(3)t⁺¹=9(3)t, so the first coefficient is 9 instead of 12.

Yes. They are equivalent because both expressions have the same base 3.

No. 6(3)t⁺¹=6*3*(3)t=18(3)t, which does not match 12(3)t.

Yes. Since t+1 is just one more, the first expression becomes 12(3)t.

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Curriculum context

Course: Math II
Standard: F-IF.8.b
Category: Functions
Domain: Interpreting Functions
Objective: Use exponent properties to interpret exponential expressions, including percent growth and decay.
Problem type: Compare two exponential expressions for equivalence by rewriting one with exponent rules