Last updated on Sep 20, 2026

The Index Laws (VCE SSCE Mathematical Methods): Quizzes

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The Index Laws

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In the expression $7^4$ , what is the index?

$4$

Simplify: $x^5 \times x^3$

$x^8$

Simplify: $\frac{a^9}{a^4}$

$a^5$

What does $5^0$ equal?

$1$

Simplify: $3^{-2}$

$\frac{1}{9}$

Simplify: $(m^4)^3$

$m^{12}$

Simplify: $(2x)^3$

$8x^3$

Simplify: $(\frac{a}{b})^4$

$\frac{a^4}{b^4}$

Is $(-2)^5$ positive or negative?

Negative

Simplify $4^n \times 8^n$ using prime decomposition.

$2^{5n}$

Explore VCE SSCE Mathematical Methods Revision Notes 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

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Determining Rules for Graphs of Exponential and Logarithmic Functions

Solution of Exponential Equations Using Logarithms

Inverses

Exponential Growth and Decay

Explore VCE SSCE Mathematical Methods Model Answers 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

Explore VCE SSCE Mathematical Methods Flashcards 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

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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