Indices (Junior Cert Mathematics): Flashcards

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Solving Equations with Indices
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What are indices (exponents)?

The index tells how many times to multiply a number by itself

In 232^3, what is the base?

22

In 232^3, what is the index?

33

ap×aq=a^p \times a^q =

ap+qa^{p+q}

apaq=\frac{a^p}{a^q} =

apqa^{p-q}

(ap)q=(a^p)^q =

apqa^{pq}

a0=a^0 =

11

ap=a^{-p} =

1ap\frac{1}{a^p}

If ax=aya^x = a^y, then what can we conclude?

x=yx = y

Express 1616 as a power of 22

242^4

Express 2727 as a power of 33

333^3

Express 88 as a power of 22

232^3

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