a123
Simplify: (3x^5/6) * (8x^2/3)?
Please show steps; I don't understand how to do these types of problems.
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saifoo.khan
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|dw:1314147083078:dw|
PetiteJiji
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1) Rewrite the question (see the attachment)
2) Multiply all the numbers
3) then x terms
the final answer is\[4/3 x ^{7}\]
Hero
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Thought you didn't find the drawing board useful
saifoo.khan
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|dw:1314147216669:dw|
Hero
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petitejiji, your solution is confusing
Hero
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\[\frac{4x^7}{3}\]
saifoo.khan
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& wrong too!
PetiteJiji
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|dw:1314147278552:dw|
saifoo.khan
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is that 100, lol.
jim_thompson5910
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pretty sure (3x^5/6) * (8x^2/3) is really \[\large (3x^{\frac{5}{6}})(8x^{\frac{2}{3}})\] can we get a confirmation?
a123
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Yes to jim_thompson5910, sorry for any confusion.
Hero
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I wish people would use parentheses properly
a123
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hero: sorry, I didn't realize it was wrong until I looked at it again.
jim_thompson5910
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multiply the coefficients to get 3*8 = 24, this is the final coefficient
now add the exponents: 5/6+2/3 = 5/6+4/6 = 9/6 = 3/2, this is the final exponent
So \[\large (3x^{\frac{5}{6}})(8x^{\frac{2}{3}})=24x^{\frac{3}{2}}\]
Hero
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a123, if it's wrong, speak up. Don't let confusion linger for too long.
a123
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jim: is that the same thing as \[(\sqrt{24x})^{3}\]
jim_thompson5910
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no because the exponent is only over the x and not the 24; however, you can rewrite it as \[\large 24\sqrt{x^3}\]
jim_thompson5910
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and simplify to get \[\large 24x\sqrt{x}\]