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:
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-> 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:
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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):
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