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A-SSE.3.c Warmup M2-013-A03-V02

Use exponent properties to transform exponential expressions and interpret growth/decay rates.

Rewrite an exponential expression with a new base using the power-of-a-power rule

Problem

Express \(7(27)^x\) with base \(3\). Rewrite \(27\) as a power of \(3\), multiply the nested exponents, retain the coefficient, and state the equivalent expression.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
A-SSE.3.c
Category
Algebra
Domain
Seeing Structure in Expressions
Objective
Use exponent properties to transform exponential expressions and interpret growth/decay rates.
Problem type
Rewrite an exponential expression with a new base using the power-of-a-power rule