Indices (Leaving Cert Mathematics): Quizzes

📚Quizzes
The Laws of Indices
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

12 questions from this quiz

Show

What is the product rule for indices?

apaq=ap+qa^p \cdot a^q = a^{p+q}

What is the quotient rule for indices?

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

What is the power of a power rule?

(ap)q=apq(a^p)^q = a^{p \cdot q}

How is a power distributed over a product?

(ab)p=apbp(ab)^p = a^p b^p

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

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

What does a0a^0 equal for any non-zero base aa?

11

What does a negative exponent indicate?

The reciprocal of the base

What is a12a^{\frac{1}{2}} equal to?

a\sqrt{a}

What does a1qa^{\frac{1}{q}} represent?

aq\sqrt[q]{a}

Simplify x3x5x^3 \cdot x^5 using the product rule.

x8x^8

Simplify y7y3\frac{y^7}{y^3} using the quotient rule.

y4y^4

Which rule is used when multiplying powers with the same base?

Product Rule

Explore Leaving Cert Mathematics Revision Notes by Topics

Explore Leaving Cert Mathematics Model Answers by Topics

Explore Leaving Cert Mathematics Flashcards by Topics

Explore Leaving Cert Mathematics Exam Questions by Topics

Join 100,000+ Leaving Cert students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.