POWER

Power

Definition Of Power

Power or Exponent tells how many times a number is multiplied by itself.

More About Power

Power is denoted by writing it above the head of its base.
Anything raised to the power 0 is equal to 1, i.e. 2⁰ = 1, a⁰ = 1.

Video Examples: What is a Power?

Example of Power

In 3⁵, 5 is the power or exponent and 3 is the base.
In a⁷, 7 is the power or exponent and a is the base.

Solved Example on Power

Ques: Rewrite the expression 13 × 13 × 13 × 13 × 13 using power notation.

Choices:

A. 13⁵
B. 13⁴
C. 51³
D. 13¹
Correct Answer: A

Solution:

Step 1: 13 × 13 × 13 × 13 × 13 [Given expression.]
Step 2: Here, 13 is multiplied 5 times.
Step 3: So, 5 is the power of the base 13.
Step 4: We write it as 13⁵.

Quick Summary

Power indicates repeated multiplication.
Anything raised to the power 0 equals 1.

\[ b^n \]

🍎 Teacher Insights

Use visual aids and real-world examples (like area and volume calculations) to illustrate the concept of powers.

🎓 Prerequisites

Multiplication
Basic Algebra

Check Your Knowledge

Q1: Rewrite 7 × 7 × 7 × 7 × 7 × 7 using power notation.

7^5 7^6 42 7^7

Q2: What is the value of 5^0?

0 1 5 Undefined

Frequently Asked Questions

Q: What does 3^4 mean?
A: It means 3 multiplied by itself 4 times: 3 * 3 * 3 * 3 = 81

Q: Why is any number to the power of 0 equal to 1?
A: This is a convention that maintains consistency in mathematical rules and patterns. It ensures that exponent rules work smoothly.