Last updated on Sep 20, 2026

The Index Laws (VCE SSCE Mathematical Methods): Flashcards

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The Index Laws

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Base in $a^n$

$a$

Index in $a^n$

$n$

$a^m \times a^n =$

$a^{m+n}$

$a^m \div a^n =$

$a^{m-n}$

$a^0 =$

$1$ (for non-zero $a$ )

$a^{-n} =$

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

$(a^m)^n =$

$a^{mn}$

$(ab)^n =$

$a^n b^n$

$\left(\frac{a}{b}\right)^n =$

$\frac{a^n}{b^n}$

Sign of $(-a)^n$ when $n$ even

Positive

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Solving Exponential Equations and Inequalities

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Explore VCE SSCE Mathematical Methods Quizzes by Topics

The Index Laws

Rational Indices

Graphs of Exponential Functions

Solving Exponential Equations and Inequalities

Using Logarithms to Solve Exponential Equations and Inequalities

Exponential Models and Applications

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Graphing Logarithmic Functions

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Show more

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

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Explore VCE SSCE Mathematical Methods Exam Questions by Topics

The Index Laws

Rational Indices

Graphs of Exponential Functions

Solving Exponential Equations and Inequalities

Using Logarithms to Solve Exponential Equations and Inequalities

Exponential Models and Applications

Logarithms

Graphing Logarithmic Functions

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Show more

Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

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