LAW OF EXPONENT.........................

LAW OF EXPONENT

1. EXPONENTEXPONENT
RULESRULES

2. DAY1DAY1

3. Students are able to
use exponent rules
to simplify
expressions
LEARNING GOALLEARNING GOAL

4. are those laws that are used for simplifying
expressions with exponents. Many
arithmetic operations like addition,
subtraction, multiplication, and division can
be conveniently performed in quick steps
using the laws of exponents.
EXPONENT RULESEXPONENT RULES

5. x2
VOCABULARYVOCABULARYBase Expression Exponent
or
power
NOte:
The following rules only apply when you have the same base

6. The product rule of exponents is used to
multiply expressions with the same bases.
This rule says, "To multiply two expressions
with the same base, add the exponents while
keeping the base the same."
PRODUCT LAWPRODUCT LAW

7. xxx xx
when multiplying with the same base,
add the exponents
Why does it work?What do i do?
Example:PRODUCT RULE:PRODUCT RULE: x
2x 3x
5

8. The 'power of a power law of exponents' is
used to simplify expressions of the form
(am)n. This rule says, "When we have a single
base with two exponents, just multiply the
exponents."
POWER OF A POWERPOWER OF A POWER

9. when applying an exponent inside
parenthesis, multiply exponents
Why does it work?What do i do?
Example:POWER OF A POWER:POWER OF A POWER: ( x )
2 3x
6 x
2 x x 2 2

10. The 'power of a product rule of exponents'
is used to find the result of a product that
is raised to an exponent. This law says,
"Distribute the exponent to each
multiplicand of the product."
POWER OF PRODUCTPOWER OF PRODUCT

11. when applying an exponent to a
product, apply to each base
Why does it work?What do i do?
Example:POWER OF A PRODUCT:POWER OF A PRODUCT: (2x)
38x
32x 2x 2x

12. The zero law of exponents is applied when
the exponent of an expression is 0. This rule
says, "Any number (other than 0) raised to 0
is 1." ZERO EXPONENT RULEZERO EXPONENT RULE

13. Anything to the zero equals one
Why does it work?What do i do?
ExampleZERO EXPONENT:ZERO EXPONENT: = x
3x
3x
0= 1

14. The negative law of exponents is used when
an exponent is a negative number. This rule
says, "To convert any negative exponent
into positive exponent, the reciprocal
should be taken." NEGATIVE EXPONENTNEGATIVE EXPONENT

15. Flip the base in a fraction and
change the sign of the exponent
examples:
What do i do?
Pro tip:NEGATIVE EXPONENT:NEGATIVE EXPONENT:
in simplest form, exponents are
positive

16. The quotient law of exponents is used to
divide expressions with the same bases. This
rule says, "To divide two expressions with
the same base, subtract the exponents
while keeping the base same." QUOTIENT RULEQUOTIENT RULE

17. When dividing with the same base,
subtract exponents.
Why does it work?
What do i do?
Example:QUOTIENT RULE:QUOTIENT RULE: x x x x x x x x = = x
5x
3x
2

18. The power of a quotient rule of exponents is
used to find the result of a quotient that is
raised to an exponent. This law says,
"Distribute the exponent to both the
numerator and the denominator." POWER OF A QUOTIENT RULEPOWER OF A QUOTIENT RULE

19. Distribute the exponent to both the
numerator and the denominator."
What do i do?
Example:
POWER OF QUOTIENT:POWER OF QUOTIENT: