SOLUTION: DEFINITIONS AND RULES FOR EXPONENTS.:Explain three rules for exponents Product Rule: Quotient Rule: Power Rule: Raising a product to a power: Raising a quotient to a power:

Question 405545: DEFINITIONS AND RULES FOR EXPONENTS.:Explain three rules for exponents
Product Rule:
Quotient Rule:
Power Rule:
Raising a product to a power:
Raising a quotient to a power:
Scientific notation:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Rule 1.
Same Base...=>...
.....To multiply powers of the same base, add the exponents.

Rule 2:
Power of a Product of Factors
.........

Rule 3:
Power of a Power
...........to take a power of a power, we multiply the exponents

Raising a product to a power:
When a product is raised to a power, we can distribute that power through to each term in the product. That is

This is true for all kinds of exponents, positive and negative (and as we will see later, fractional).

Raising a quotient to a power:

Raising a quotient to a power can be done by using the formula for raising products to a power:

In general, this means that we can distribute the power over each term in the quotient:

Scientific notation:
To make writing and dealing with these and numbers easier, scientists developed scientific notation.
Fraction Decimal Exponential Notation

Every non-zero number can be written in scientific notation. For example,

and so on

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