The document discusses exponents and the laws for multiplying and dividing powers with the same base. It defines exponents and notes that when multiplying powers with the same base, the product's power is the sum of the exponents. When dividing powers with the same base, the quotient's power is the difference of the exponents. Examples are provided to demonstrate simplifying expressions using these laws of exponents.

1. PROBLEM:
Joe got sick as the number of
bacteria in his body increased.
The number of bacteria, starting
at 1, doubled every hour. How
many bacteria would there be
after 6 hours?
ANSWER:
𝟐 × 𝟐 × 𝟐 × 𝟐 × 𝟐 × 𝟐 = 𝟐 𝟔
= 𝟔𝟒

2. AIM
Today we will find
the product and
quotient of powers
with the same
base.

3. EXPONENT
It is used to denote large
numbers, very large numbers,
very small numbers, or when a
number is multiplied by itself
repeatedly.

4. MULTIPLYING POWERS WITH
THE SAME BASE
When two numbers with the same base
but different powers are multiplied, the
product will have the same base and a
power that is the sum of the powers of
the multiplicands. For any non-zero
integer a, and whole numbers m and n:
𝒂 𝒎 × 𝒂 𝒏 = 𝒂 𝒎+𝒏

5. DIVIDING POWERS WITH THE
SAME BASE
In division involving two numbers with
the same base but different powers, the
power of the quotient is the difference
of the powers of the dividend and
divisor. For non-zero integer a, and
whole numbers m and n such that m > n:
𝒂 𝒎
÷ 𝒂 𝒏
=
𝒂 𝒎
𝒂 𝒏
= 𝒂 𝒎−𝒏

6. EXAMPLE:
Simplify using the laws of
exponents.

7. T A S K :
Simplify using the laws of
exponents.

8. FINISH S1
on page 14 of
your
Workbook.
CLASS WORK:

9. Complete
Practice Questions
#s 1 – 3, page 93 from
the XSEED Content
Book.
HOMEWORK: