Class 6 Maths Exponents Worksheets with Answers

To write a number in exponential form, you identify the repeating factor (the base) and count how many times it is multiplied (the exponent). The process is straightforward:

• Identify the base: The number being multiplied repeatedly.
• Count the repetitions: This count becomes the exponent.
• Write the form: Place the exponent to the upper right of the base. For instance, 7 × 7 × 7 × 7 is written as 7⁴.

For Class 6, the introduction to the laws of exponents primarily focuses on understanding the concept and simple operations. While detailed laws are covered in higher grades, the foundational rules include:

• Multiplying Powers with the Same Base: To multiply powers with the same base, you keep the base and add the exponents (e.g., aᵐ × aⁿ = aᵐ⁺ⁿ).
• Dividing Powers with the Same Base: To divide powers with the same base, you keep the base and subtract the exponents (e.g., aᵐ ÷ aⁿ = aᵐ⁻ⁿ).
• Power of One: Any number raised to the power of 1 is the number itself (e.g., 5¹ = 5).

The terms exponents and powers are closely related but refer to different parts of an expression. The exponent is the small superscript number indicating repeated multiplication, while the power is the entire expression, including the base and exponent. For example, in 5² = 25:

• The number 2 is the exponent.
• The entire term 5² is called the power.
• The number 5 is the base.

Solving exponent questions in Class 6 typically involves two main tasks. Here is a stepwise guide:

• Evaluating Expressions: This means finding the final value. For example, to solve 3⁴, you calculate 3 × 3 × 3 × 3 = 81.
• Expressing in Exponential Form: This involves converting a repeated multiplication into its base and exponent form. For example, 9 × 9 × 9 is expressed as 9³.

Our worksheets provide extensive exponent practice on both types of problems.

Common exponents examples for Class 6 focus on understanding the core concept of repeated multiplication. These include:

• Expressing 5 × 5 × 5 in exponential form as 5³.
• Calculating the value of 2⁵, which is 2 × 2 × 2 × 2 × 2 = 32.
• Writing 100 as a power of 10, which is 10².
• Identifying the base and exponent in an expression like 9⁶ (Base: 9, Exponent: 6).

This Class 6 Maths exponents worksheet helps your child master exponents by providing structured practice and clear examples. Key benefits include:

• Concept Reinforcement: Solidifies understanding of base, exponents, and powers.
• Skill Building: Improves calculation speed and accuracy through varied exponents questions.
• Exam Preparation: Aligned with CBSE and NCERT curriculums, making it perfect for homework and revision.
• Self-Assessment: Comes with a detailed answer key for immediate feedback.

Yes, absolutely. This Class 6 maths exponents worksheet is available as a free, high-quality, and print-friendly downloadable PDF. You can print it as many times as you need for practice at home or in the classroom.

Yes, a comprehensive answer key with stepwise solutions is included with this worksheet. The answer key allows students to check their work independently and helps parents or tutors guide them effectively, making it easier to identify and correct mistakes.

This worksheet helps build essential mathematical skills that are crucial for higher-grade maths. Students will develop:

• Numerical Fluency: By repeatedly working with multiplication and powers.
• Pattern Recognition: By understanding how numbers grow exponentially.
• Problem-Solving Skills: By applying the rules of exponents to solve various problems.
• Conceptual Clarity: By distinguishing between base, exponent, and power.