Flashcard: Mastering Indices and Exponential Expressions — 9 carte

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1Domanda

Indices — definition?

Risposta

Numbers showing how many times to multiply a base.

2Domanda

Indices — what do they represent?

Risposta

Number of times the base is multiplied by itself.

3Domanda

Laws of indices — purpose?

Risposta

Simplify and manipulate exponential expressions efficiently.

4Domanda

Base number — definition?

Risposta

Number before the exponent in an exponential expression.

5Domanda

Product law of indices — example?

Risposta

a^m × a^n = a^(m + n)

6Domanda

Quotient law — purpose?

Risposta

Subtract exponents when dividing same base expressions.

7Domanda

Power of a power rule — formula?

Risposta

(a^m)^n = a^(m × n)

8Domanda

Zero exponent rule — outcome?

Risposta

a^0 = 1, for a ≠ 0.

9Domanda

Simplifying indices — essential skill?

Risposta

Apply laws to manipulate exponential expressions efficiently.

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1. How does an index differ from a base number in the context of powers?

2. What does an index (or exponent) indicate in an expression involving indices?

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