Explore Activity 6: Process Me! Directions: Determine the law of exponent that should be used to simplify each expression then simplify. Write all the law of exponent that can be applied to simplify the expression. Copy the table in your paper then answer.
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Laws of Exponents
Answer:
1. Law/s of Exponent:
Product with the Same Bases:
= 
Simplified Form:
2. Law/s of Exponent:
Zero Power:
= 1
Simplified form:
1
3. Law/s of Exponent:
Power raised to a power:
= 
Simplified form :
4. Law/s of Exponent:
Quotient with same bases:
/
= 
Negative Exponent Rule:
= 
Simplified form:
=
=
= d^20/ k^5
5. Law/s of Exponent:
Quotient to a power: (
)^n = 
Simplified form:
= 9² /
=
or 81 / m^10
Step-by-step explanation:
Exponents are used to denote repeated multiplication of a number by itself. For example, 2x2x2 can be written as 2³. The superscript, 3, is the exponent. It tells the number of times the number is multiplied by itself. The number, 2, on the other hand, is the base here which is the actual number that is getting multiplied.
We can simplify exponents by applying the different laws of exponents. Below are the different laws of exponents and descriptions:
Powers with Same Base
Quotient with Same Base
Power of a Power
Product raised to a Power
Quotient to a Power
(
)^n = 
Zero Power Rule
Negative Exponent Rule
Fractional Exponent Rule
By simplifying exponents, we get to solve math problems involving exponents easily.
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