1. tootsi123

2. 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.

3. mathstudent55

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4. mathstudent55

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5. tootsi123

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6. tootsi123

Is that right or not

7. mathstudent55

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8. mathstudent55

Don't multiply exponents. In this case you need to add them.

9. 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|

10. mathstudent55

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11. tootsi123

Okay |dw:1440126173093:dw|

12. mathstudent55

Great.

13. 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.

14. mathstudent55

Now we have this, right? |dw:1440126329963:dw|

15. tootsi123

Yes so then my next step would be to add the a on top with the a on bottom???

16. mathstudent55

Now we move the a with the negative exponent from the numerator to the denominator by making the exponent positive.

17. mathstudent55

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18. mathstudent55

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19. 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.

20. 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.

21. mathstudent55

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22. mathstudent55

Ok so far?

23. tootsi123

Yeah. so now do we multiply the 4 and the 6 or add

24. mathstudent55

When you raise a fraction to a power, raise the numerator to the power and raise the denominator to the power.

25. mathstudent55

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26. mathstudent55

In the numerator, you need to raise a power to a power, so multiply the exponents.

27. mathstudent55

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28. mathstudent55

In the denominator, we are raising a product to a power, so we raise each factor to that power.

29. mathstudent55

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30. tootsi123

b^24/16a^48

31. mathstudent55

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32. mathstudent55

You got it. Great job!

33. tootsi123

Finally i thought i would never get it

34. mathstudent55

Keep working at it and you'll get it!