The Laws of Indices (Junior Cert Mathematics): Quizzes

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The Laws of Indices
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13 questions from this quiz

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What does an exponent tell you to do with a number?

How many times to multiply it by itself

In the expression 232^3, what is the number 22 called?

The base

When multiplying powers with the same base, what do you do with the powers?

Add them

What is apaq\frac{a^p}{a^q} equal to?

ap−qa^{p-q}

When raising a power to another power, what do you do with the powers?

Multiply them together

What does any non-zero number raised to the power of zero equal?

11

What does a−pa^{-p} equal?

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

What does a12a^{\frac{1}{2}} represent?

The square root of aa

What is a1qa^{\frac{1}{q}} equal to?

aq\sqrt[q]{a}

What is (ab)p(ab)^p equal to?

ap×bpa^p \times b^p

What is (ab)p\left(\frac{a}{b}\right)^p equal to?

apbp\frac{a^p}{b^p}

When can you apply the laws of indices to simplify expressions?

When the base is the same

What does a negative power indicate about the result?

Take the reciprocal

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