This document defines exponents and explains the laws of exponents. Exponents refer to the number of times a number is multiplied by itself and is written as a small number above and to the right of another number. The five laws of exponents are: 1) When multiplying the same base, add the exponents. 2) When taking a power of a power, multiply the exponents. 3) When dividing the same base, subtract the exponents. 4) Any number to the zero power is one. 5) The exponent of the reciprocal of a number is the negative exponent. The document then provides examples of simplifying expressions using these laws of exponents and asks the reader to practice applying the laws.

2. What is an
exponent?

3. EXPONENT
refers to the number of
times a number is multiplied by
itself
is a small number (or symbol)
above and to the right of another
number (or symbol) signifying how
many times the number is to be used
in multiplication.

7. LAWS OF
EXPONENTS

8. LAWS OF EXPONENTS
LAW
# 1
LAW
# 4
LAW
# 3
LAW
# 2
LAW
# 5

9. LAWS OF EXPONENTS
xmxn = xm+n
LAW # 1
Product of a Power

10. LAWS OF EXPONENTS
LAW # 2
Power of Powers
(xm)n = xmn

11. LAWS OF EXPONENTS
LAW # 3
Quotient of a Power
xm/xn = xm-n

12. LAWS OF EXPONENTS
LAW # 4
Zero Exponent
x0 = 1

13. LAWS OF EXPONENTS
LAW # 5
Negative Exponent
x-1 = 1/x

14. LET’S DO IT
!!! Simplify each of the
following using the laws of
exponents. Click the letter
of your answer.
(3x)( 4x²)
12x² 12x³
1

15. LET’S DO
IT !!! Simplify each of the
following using the laws of
exponents. Click the letter
of your answer.
(3a³b)²
9a⁶b² 6a⁶b²
2

16. LET’S DO
IT !!! Simplify each of the
following using the laws of
exponents. Click the box
of your answer.
(2a³b²)(3a³b)
9a⁶b² 6a⁶b³
3

17. LET’S DO
IT !!! Simplify each of the
following using the laws of
exponents. Click the letter
of your answer.
(2a²bc)³
8a⁶b³c³ 6a⁶b³c
4

18. LET’S DO
IT !!! Simplify each of the
following using the laws of
exponents. Click the letter
of your answer.
(2m²n)(4mn)
(m³n²)
8m⁶n² 8m⁶n⁴
5

19. How ‘bout
this ?
Simplify each of the following
using the laws of exponents.
Click the letter of your answer.
1 2
3
a. 4a³
b. 4a
a. 2x²y
b. -2x²y
a. 1
b. 0

20. Simplify each of the following
using the laws of exponents.
Click the letter of your answer.
Let’s
explore!!!
1

21. Simplify each of the following
using the laws of exponents.
Click the letter of your answer.
Let’s
explore!!!
2

22. Simplify each of the following
using the laws of exponents.
Click the letter of your answer.
Let’s
explore!!!
3

23. THE END !!!

24. THANK YOU !!!
Prepared by:
Maria Lourdes A. Manandig
Jaime J. Vistan High School
Tabang, Plaridel, Bulacan