anonymous
  • anonymous
How do you write this in simplest form?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
\[\LARGE (b^{x})^{y} = b^{x \times y}\]
anonymous
  • anonymous
Remember the outside exponent also applies to the 8.

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More answers

anonymous
  • anonymous
everything must be raised to -2/3 power . when raise a product by a power you multiply the exponents
anonymous
  • anonymous
@geoffb Can you explain how I'd use that formula with this problem?
anonymous
  • anonymous
|dw:1354925885023:dw|
anonymous
  • anonymous
|dw:1354925885023:dw|
anonymous
  • anonymous
Can you explain what you did in each step so I can make sure I understand it?
anonymous
  • anonymous
from the image the exponents looks negative.
anonymous
  • anonymous
They are
anonymous
  • anonymous
everything has to be raised by the power that is outside the parentheses. so -2/3
anonymous
  • anonymous
everything has to be raised by the power that is outside the parentheses. so -2/3
anonymous
  • anonymous
8 raised to the -2/3 and a^-3 raised to the -2/3
anonymous
  • anonymous
so you have 8^-2/3
anonymous
  • anonymous
you have to multiply a^-3 by -2/3
anonymous
  • anonymous
so you get in the numerator -3 times -2 = 6 and the denominator 3 times 1=3
anonymous
  • anonymous
so you get in the numerator -3 times -2 = 6 and the denominator 3 times 1=3
anonymous
  • anonymous
6/3=2 so you have a^2
anonymous
  • anonymous
now you will have 8^-2/3 a^2
anonymous
  • anonymous
you can't have negative exponents so you drop 8-2/3 down in the denominator and it becomes 8^2/3
anonymous
  • anonymous
now you have a^2/8^2/3
anonymous
  • anonymous
if you havent learned how to convert fractional exponents to radicals then you can stop there
anonymous
  • anonymous
but if not you convert 8 2/3 to a radical
anonymous
  • anonymous
|dw:1354927080454:dw|
anonymous
  • anonymous
I think I get it lol
anonymous
  • anonymous
ok
anonymous
  • anonymous
"you can't have negative exponents" Sure you can. The rest of what you said looks good though.
anonymous
  • anonymous
you can but 99.9% of the time n Algebra, teachers want the answer using positive exponents.

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