Power of a power

1. PROBLEM:
What is the volume of a cube with
sides of 𝟐 𝟒
cm?
ANSWER:
𝑽𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒄𝒖𝒃𝒆 = 𝒔 𝟑
𝑽𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒄𝒖𝒃𝒆 = 𝟐 𝟒 𝟑
𝑽𝒐𝒍𝒖𝒎𝒆 𝒐𝒇 𝒂 𝒄𝒖𝒃𝒆 = 𝟐 𝟒
× 𝟐 𝟒
× 𝟐 𝟒
𝒄𝒎 𝟑

2. AIM
Today we will
learn about the
power of a power.

3. T A S K :
Complete the table and compare the
exponents
Length of the
Side of the
Cube (in cm)
Volume of the Cube as
Repeated Multiplication
Volume in Exponential
Form
A.
B.
C.

4. Power of a Power
For any non-zero integers a, where m
and n are whole numbers,
𝒂 𝒎 𝒏 = 𝒂 𝒎×𝒏
ZERO RULE:
𝒂 𝟎
= 𝟏

5. EXAMPLE:
Simplify using the laws of exponents.

6. EXAMPLE:
Simplify using the laws of exponents.

7. FINISH S3
on page 16 of
your
Workbook.
CLASS WORK:

8. Complete
Practice Questions
#s 1 – 3, page 94 – 95
from the XSEED
Content Book.
HOMEWORK: