Last updated on Sep 22, 2026

Indices (AQA GCSE Further Maths): Flashcards

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Indices

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In $a^n$ , what is 'n' called?

Index (or power/exponent)

In $a^n$ , what is 'a' called?

Base

$a^m \times a^n =$

$a^{m+n}$

$a^m \div a^n =$

$a^{m-n}$

$(a^m)^n =$

$a^{mn}$

$a^0 =$

$1$

$a^{-m} =$

$\frac{1}{a^m}$

$a^{1/n} =$

$\sqrt[n]{a}$ (nth root of a)

Express $4^x$ using base 2

$(2^x)^2$ (NOT $2 \times 2^x$ )

Can $2^x$ be negative?

No, exponentials are always positive

Can $\sqrt{x}$ be negative?

No

Can $\sqrt[3]{x}$ be negative?

Yes

How to solve $x^4 = 5x^2 - 4$ ?

Substitution to form disguised quadratic

Explore AQA GCSE Further Maths Revision Notes by Topics

Number and algebra I

Algebra II

Algebra III

Algebra IV

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Number and algebra I

Algebra II

Algebra III

Algebra IV

Explore AQA GCSE Further Maths Quizzes by Topics

Number and algebra I

Algebra II

Algebra III

Algebra IV

Explore AQA GCSE Further Maths Exam Questions by Topics

Number and algebra I

Algebra II

Algebra III

Algebra IV

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