tootsi123
  • tootsi123
Please help...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
tootsi123
  • tootsi123
mathstudent55
  • mathstudent55
Start with this: Combine a's together, and combine b's together in the denominator. When you multiply powers with the same base, add the exponents.
mathstudent55
  • mathstudent55
|dw:1440125683113:dw|

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mathstudent55
  • mathstudent55
|dw:1440125765778:dw|
tootsi123
  • tootsi123
|dw:1440125883226:dw|
tootsi123
  • tootsi123
Is that right or not
mathstudent55
  • mathstudent55
|dw:1440125888312:dw|
mathstudent55
  • mathstudent55
Don't multiply exponents. In this case you need to add them.
mathstudent55
  • mathstudent55
I put the a's together and the b's together to make it easier to understand which exponents need to be added together. |dw:1440126038498:dw|
mathstudent55
  • mathstudent55
|dw:1440126140775:dw|
tootsi123
  • tootsi123
Okay |dw:1440126173093:dw|
mathstudent55
  • mathstudent55
Great.
mathstudent55
  • mathstudent55
Now here is the next step. A negative exponent in the numerator is a positive exponent in the denominator. A negative exponent in the denominator is a positive exponent in the numerator.
mathstudent55
  • mathstudent55
Now we have this, right? |dw:1440126329963:dw|
tootsi123
  • tootsi123
Yes so then my next step would be to add the a on top with the a on bottom???
mathstudent55
  • mathstudent55
Now we move the a with the negative exponent from the numerator to the denominator by making the exponent positive.
mathstudent55
  • mathstudent55
|dw:1440126445800:dw|
mathstudent55
  • mathstudent55
|dw:1440126540176:dw|
mathstudent55
  • mathstudent55
We moved the a with the negative exponent in the numerator to the denominator by making the exponent positive. Once we had a^4 in the denominator, we were able to multiply it by a^8 to get a^12 in the denominator.
mathstudent55
  • mathstudent55
We still have a negative exponent. It's the b^-6 in the denominator. We move b^-6 to the numerator by making the exponent positive.
mathstudent55
  • mathstudent55
|dw:1440126701866:dw|
mathstudent55
  • mathstudent55
Ok so far?
tootsi123
  • tootsi123
Yeah. so now do we multiply the 4 and the 6 or add
mathstudent55
  • mathstudent55
When you raise a fraction to a power, raise the numerator to the power and raise the denominator to the power.
mathstudent55
  • mathstudent55
|dw:1440126965030:dw|
mathstudent55
  • mathstudent55
In the numerator, you need to raise a power to a power, so multiply the exponents.
mathstudent55
  • mathstudent55
|dw:1440127031581:dw|
mathstudent55
  • mathstudent55
In the denominator, we are raising a product to a power, so we raise each factor to that power.
mathstudent55
  • mathstudent55
|dw:1440127099961:dw|
tootsi123
  • tootsi123
b^24/16a^48
mathstudent55
  • mathstudent55
|dw:1440127145986:dw|
mathstudent55
  • mathstudent55
You got it. Great job!
tootsi123
  • tootsi123
Finally i thought i would never get it
mathstudent55
  • mathstudent55
Keep working at it and you'll get it!

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