RAISE

Raise

Definition Of Raise

When one number is raised over another number, we mean that the number is multiplied by itself those many number of times.

Examples of Raise

To raise 5 to the power of 4 means 54 and is equivalent to 5⁴ = 5 × 5 × 5 × 5 = 625.
To raise m to the power of 3 means m³ and is equivalent to m³ = m × m × m.

Video Examples: How to Raise an Expression by a Fraction

Solved Example on Raise

Ques: Which of the expressions represents y raised to its fifth power?

Choices:

A. 5^y
B. y⁵
C. y + 5
D. 5^y

Correct Answer: B

Solution:

Step 1: y raised to its fifth power means y to the power of 5. [Base is y and power is 5.]
Step 2: The expression y⁵ represents y raised to its fifth power.

Quick Summary

Raising a number to a power is repeated multiplication.
The exponent indicates how many times the base is multiplied by itself.

\[ x^n = \underbrace{x \times x \times ... \times x}_{n \text{ times}} \]

🍎 Teacher Insights

Use concrete examples and visual aids to illustrate the concept of exponents. Emphasize the difference between exponents and multiplication. Start with small exponents and gradually increase the complexity.

🎓 Prerequisites

Basic Arithmetic
Multiplication

Check Your Knowledge

Q1: What is 3 raised to the power of 4?

7 12 81 64

Q2: Which expression represents 'y' raised to its fifth power?

5^y y^5 y + 5 5y

Frequently Asked Questions

Q: What does it mean to raise a number to the power of 1?
A: Any number raised to the power of 1 is equal to itself (e.g., 5^1 = 5).

Q: What does it mean to raise a number to the power of 0?
A: Any non-zero number raised to the power of 0 is equal to 1 (e.g., 5^0 = 1).