Algebra Flashcards: Rewrite Exponential Expressions Using Exponents

Study Rewrite Exponential Expressions Using Exponents in Algebra with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Rewrite $8^{\frac{t}{3}}$ as a power with exponent $t$ .

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ANSWER

$8^{\frac{t}{3}} = 2^t$ . Since $8 = 2^3$ , we get $(2^3)^{t/3} = 2^t$ .

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What this deck covers

This deck focuses on Rewrite Exponential Expressions Using Exponents, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set

An investment grows by 12% per year, modeled by

A(t)=P(1.12)^t

where

t

is in years. Rewrite

(1.12)^t

to reveal the equivalent monthly growth factor (12 months per year) using exponent properties.

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