How many practice questions are available for Exponents & Powers?

SparkEd Math offers 61+ practice questions for Exponents & Powers across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Exponents & Powers content free on SparkEd Math?

Yes! All Exponents & Powers content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Exponents & Powers differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Exponents & Powers problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Exponents & Powers content aligned with the IB syllabus?

Yes, all Exponents & Powers questions and lessons on SparkEd Math are fully aligned with the International Baccalaureate (MYP) (IB) syllabus for Class 7. The content follows the official curriculum structure and exam pattern.

Exponents & Powers — Class 7 IB (2025-26)

About Exponents & Powers — Class 7 IB

Apply laws of exponents to simplify expressions with integer and zero exponents. This topic is part of the IB Class 7 mathematics syllabus (chapter: Unit 11). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Exponents & Powers

Introduction to Exponents & Powers
Product Rule for Exponents
Quotient Rule for Exponents
Power Rule for Exponents
Zero Exponent, Negative Bases, and Order of Operations

Interactive lesson · about 80 minutes · checkpoint question after every unit

Exponents & Powers — solved examples for Class 7 IB

Example 1easy

Which statement correctly explains the meaning of 5^3?

A)5 × 3
B)5 + 5 + 5
C)5 × 5 × 5
D)3 × 3 × 3 × 3 × 3

Step-by-step solution

The expression 5^3 means the base number, 5, is multiplied by itself.
The exponent, 3, indicates that this multiplication happens 3 times.
Therefore, 5^3 = 5 × 5 × 5.

Answer: 5 × 5 × 5

Example 2medium

Which of the following expressions equals 81?

A)A) 3^4
B)B) 9^3
C)C) 4^3
D)D) 8^1

Step-by-step solution

Evaluate each option:
A) 3^4 = 3 × 3 × 3 × 3 = 9 × 9 = 81.
$3^4 = 81$
B) 9^3 = 9 × 9 × 9 = 81 × 9 = 729.
$9^3 = 729$
C) 4^3 = 4 × 4 × 4 = 16 × 4 = 64.
$4^3 = 64$
D) 8^1 = 8.
$8^1 = 8$
Therefore, 3^4 equals 81.

Answer: A) 3^4

Example 3hard

Which of the following statements about the expression 3 × 3 × 3 × 3 × 3 is NOT true?

A)A. The base is 3.
B)B. The exponent is 5.
C)C. It can be written as 3^5.
D)D. Its value is 15.

Step-by-step solution

The expression 3 × 3 × 3 × 3 × 3 shows 3 multiplied by itself 5 times.
In index notation, this is written as 3^5, where 3 is the base and 5 is the exponent.
Calculating the value: 3^5 = 3 × 3 × 3 × 3 × 3 = 243.
Option D states its value is 15, which is incorrect.

Answer: D. Its value is 15.

Practice questions on Exponents & Powers

Q1.easy
What is the value of 2^5?
1. A)32
2. B)10
3. C)25
4. D)16
Show answer
Answer: 32
Hint: The exponent indicates how many times the base is multiplied by itself.
Q2.easy
Simplify the expression: m^6 × m^2.
1. A)m^12
2. B)m^8
3. C)m^4
4. D)2m^8
Show answer
Answer: m^8
Hint: When multiplying powers with the same base, you add their exponents.
Q3.easy
A storage facility in Rotterdam measures the number of identical containers in a stack. If each stack has 7^3 containers and there are 7^2 such stacks arranged in a row, how many containers are there in total? Express your answer in index notation.
1. A)7^6
2. B)7^1
3. C)49^5
4. D)7^5
Show answer
Answer: 7^5
Hint: When you have multiple stacks, you multiply the number of containers per stack by the number of stacks. Apply the product rule for exponents.
Q4.medium
Simplify the expression 7^5 × 7^2.
1. A)A) 7^10
2. B)B) 49^7
3. C)C) 7^7
4. D)D) 7^3
Show answer
Answer: C) 7^7
Hint: Remember the product rule for exponents: when multiplying powers with the same base, you add the exponents.
Q5.medium
Simplify the expression 11^9 ÷ 11^4.
1. A)A) 11^13
2. B)B) 11^5
3. C)C) 11^(9/4)
4. D)D) 11^36
Show answer
Answer: B) 11^5
Hint: Recall the quotient rule for exponents: when dividing powers with the same base, you subtract the exponents.
Q6.medium
What is the value of (2^3)^2?
1. A)A) 2^5
2. B)B) 2^9
3. C)C) 12
4. D)D) 64
Show answer
Answer: D) 64
Hint: Remember the 'power of a power' rule first to simplify the exponent. Then calculate the final value.
Q7.hard
A scientist in a laboratory in Geneva observes two bacterial colonies. Colony A has 5x^3y^2 bacteria and Colony B has 3x^4y^3 bacteria. If they combine, and their populations simply add without interaction, what is the product of their initial populations, expressed in simplest index form?
1. A)A. 15x^7y^5
2. B)B. 8x^7y^5
3. C)C. 15x^12y^6
4. D)D. 8x^12y^6
Show answer
Answer: A. 15x^7y^5
Hint: Remember that 'product' means multiplication. Apply the product rule for exponents to each variable separately.
Q8.hard
Simplify the following expression: (28p^9 q^6 r^4) / (7p^5 q^2 r^4).
1. A)A. 4p^4 q^4 r^0
2. B)B. 4p^4 q^4
3. C)C. 4p^14 q^8 r^8
4. D)D. 21p^4 q^4
Show answer
Answer: B. 4p^4 q^4
Hint: Divide coefficients and apply the quotient rule for exponents to each variable separately. Pay close attention to the variable that appears in both numerator and denominator with the same exponent.
Q9.hard
A designer is creating a fractal pattern where each iteration increases the number of elements exponentially. If the complexity of the pattern can be described by the expression ((z^3)^2)^5, simplify this expression.
1. A)A. z^10
2. B)B. z^30
3. C)C. z^15
4. D)D. z^25
Show answer
Answer: B. z^30
Hint: When raising a power to another power, you multiply the exponents. Apply this rule iteratively from the innermost parentheses outwards.

These are 9 of the 60 questions available for Exponents & Powers. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.