Help with exponenets?

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I cannot seem to get the hand of simplifying exponents.
*Note ()=An exponent
Such as:
x(2)x(4)j(-7)

Can anyone help me find a way to simplify?
(Whats akward is I'm in honors... .-.)
 
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Isn't it, x^8 j^-7?

^ is the symbol for exponents btw. :)

So, for x^2 x x^4, you would times the exponents in this situation, which is x^8.
 
Last edited:
Isn't it, x^8 j^-7?

^ is the symbol for exponents btw. :)

So, for x^2 x x^4, you would times the exponents in this situation, which is x^8.

I'm pretty sure it'd be x(6), j(-7). When you have exponents that are on the same letter, you would add or subtract them, yes? Not multiply or divide. Correct me if I'm wrong.

Exponents have a few rules that we can use for simplifying expressions.

  • Simplify (x[SUP]3[/SUP])(x[SUP]4[/SUP]) Copyright ? Elizabeth Stapel 2000-2011 All Rights Reserved

  • To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form:
    • (x[SUP]3[/SUP])(x[SUP]4[/SUP]) = (xxx)(xxxx)
      = xxxxxxx
      = x[SUP]7[/SUP]
Note that x[SUP]7[/SUP] also equals x[SUP](3+4)[/SUP]. This demonstrates the first basic exponent rule: Whenever you multiply two terms with the same base, you can add the exponents:

 
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I promise it's easy, there are just a few rules to follow. Surely you've found tutorials online that will help?
 
I just thought of a random example :P I need help with simplifying (spelling I KNOW) exponent number sentences, that use eitheir multiplication or divison
 
In this situation, for x^2 x x^4, I don't believe you combine like terms because they're being multiplied. If it's beside eachother with no symbol in between, like x^6y^8, x to the power of 6 and y to the power of 8 are being multiplied.

I...hope my attempt at an explanation isn't confusing things further.
 
i think if you're multiplying you add the exponents and if you're dividing you subtract them? i think...
 
I'm pretty sure it'd be x(6), j(-7). When you have exponents that are on the same letter, you would add or subtract them, yes? Not multiply or divide. Correct me if I'm wrong.

Exponents have a few rules that we can use for simplifying expressions.

Simplify (x3)(x4) Copyright ? Elizabeth Stapel 2000-2011 All Rights Reserved


To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form:

(x3)(x4) = (xxx)(xxxx)
= xxxxxxx
= x7

Note that x7 also equals x(3+4). This demonstrates the first basic exponent rule: Whenever you multiply two terms with the same base, you can add the exponents:

( x m ) ( x n ) = x( m + n )

Taken from:
http://www.purplemath.com/modules/exponent.htm
 
Ah! That's right, maybe when the two variables are multiplied, the exponents are added.

No math classes for a few months and I forget everything.

edit: Er, I saw your first post after I posted that last one by the way.
 
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I'm pretty sure it'd be x(6), j(-7). When you have exponents that are on the same letter, you would add or subtract them, yes? Not multiply or divide. Correct me if I'm wrong.

Exponents have a few rules that we can use for simplifying expressions.

  • Simplify (x[SUP]3[/SUP])(x[SUP]4[/SUP]) Copyright ? Elizabeth Stapel 2000-2011 All Rights Reserved

  • To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form:
    • (x[SUP]3[/SUP])(x[SUP]4[/SUP]) = (xxx)(xxxx)
      = xxxxxxx
      = x[SUP]7[/SUP]
Note that x[SUP]7[/SUP] also equals x[SUP](3+4)[/SUP]. This demonstrates the first basic exponent rule: Whenever you multiply two terms with the same base, you can add the exponents:


They worksheet told me that I need to simplify with different bases...
 
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