Last updated on Sep 22, 2026

Indices and Powers (HSC SSCE Mathematics Advanced): Quizzes

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Indices and Powers

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In the expression $5^7$ , what is the base?

$5$

What is $4^3 \times 4^5$ simplified?

$4^8$

Simplify $7^9 \div 7^4$ using index laws.

$7^5$

What is $(2^3)^4$ simplified?

$2^{12}$

What does $5^{-2}$ equal?

$\frac{1}{25}$

What is $16^{1/2}$ ?

$4$

In $a^{m/n}$ , what does the denominator $n$ tell us?

Which root to take

Can $x^3 + x^5$ be simplified to $x^8$ ?

No, product rule only for multiply

Simplify $(3 \times 4)^2$ using index laws.

$3^2 \times 4^2$

What is $27^{2/3}$ ?

$9$

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Indices and Powers (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

In the expression 575^757, what is the base?

What is 43×454^3 \times 4^543×45 simplified?

Simplify 79÷747^9 \div 7^479÷74 using index laws.

What is (23)4(2^3)^4(23)4 simplified?

What does 5−25^{-2}5−2 equal?

What is 161/216^{1/2}161/2?

In am/na^{m/n}am/n, what does the denominator nnn tell us?

Can x3+x5x^3 + x^5x3+x5 be simplified to x8x^8x8?

Simplify (3×4)2(3 \times 4)^2(3×4)2 using index laws.

What is 272/327^{2/3}272/3?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

In the expression $5^7$ , what is the base?

What is $4^3 \times 4^5$ simplified?

Simplify $7^9 \div 7^4$ using index laws.

What is $(2^3)^4$ simplified?

What does $5^{-2}$ equal?

What is $16^{1/2}$ ?

In $a^{m/n}$ , what does the denominator $n$ tell us?

Can $x^3 + x^5$ be simplified to $x^8$ ?

Simplify $(3 \times 4)^2$ using index laws.

What is $27^{2/3}$ ?