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Question

Post a response to the following: Review section 10.2 (p. 692) of your text.
Describe two laws of exponents and provide an example illustrating each law.


Explain how to simplify your expression.

How do the laws work with rational exponents?

Provide the class with a third expression to simplify that includes rational (fractional) exponents.

Consider responding to classmates who have chosen laws different from the ones you selected.
Ask clarifying questions of your classmates to make sure you understand the laws. Practice simplifying your classmates’ expressions.
Can you provide me with an original answer instead of the one that is posted for this question?

Submitted: 307 days and 9 hours ago.
Category: Math
Value: $15
Status: CLOSED
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Optional Information

Level: 2 year; Subject: Algebra

Already Tried:
nothing, I always use this site

Posted by Scott 307 days and 9 hours ago.

Info Request

Thanks for requesting me!

 

Yes, I can write up new examples for you.

 

Please post your classmate's answers, so I can respond them.

 

Thanks,

Scott

307 days and 8 hours ago.

Reply

Thanks, I don't have any of the class's resonses yet, but I need examples and one expression for me to give to my class to solve, plus the other part of this question that I previously asked in my last post.

Thanks

Accepted Answer

Here you go:


First law:
Law for dividing exponents with like bases. If you have two exponents with the same base, and you want to divide them, you subtract the exponents.
Example:
x^a / x^b = x^(a-b)
With numbers:
x^8 / x^4 = x^(8-4) = x^4

 

Second law:
Law for multiplying exponents with like bases. If you have two exponents with the same base, and you want to multiply them, you add the exponents.
Example:
x^a * x^b = x^(a+b)
With numbers:
x^8 * x^4 = x^(8+4) = x^12


These laws work the same way with rational exponents.
Here is an example for the classmates:
8^(8/7) / 8^(1/7)


Solution:
= 8^(8/7 - 1/7)
= 8^1
= 8


Let me know if you have any questions, and if you're all set, thanks for accepting,
Scott

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Expert: Scott
Pos. Feedback: 100.0 %
Accepts: 
Answered: 1/19/2009

MIT Graduate

College degree in math... proficient in all levels -- from algebra to calculus

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