anonymous
  • anonymous
Algebra help pleasee
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
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dumbcow
  • dumbcow
the square root is same as exponent of (1/2) ... so divide the exponent in half to nearest integer , then leave the remainder inside square root \[\sqrt{x^{7}} = x^{7/2} = x^{3} x^{1/2} = x^{3} \sqrt{x}\]
Jhannybean
  • Jhannybean
\[\frac{ 7q^4 }{{\sqrt{q ^{15}}} }\] so now we're focusing on just q.\[\frac{ q^4 }{ q ^{\frac{ 15 }{ 2 }} }\]So now we have \[q ^{(15/2)-4}= q ^{(15/2)-(8/2)}= q ^{7/2}\] wecan also rewrite q under a radical. \[\sqrt{q ^{7}}\] putting it altogether, we would have \[\frac{ 7 }{ \sqrt{q ^{7}}}\] or you can write this as \[\frac{ 7 }{ q ^{7/2} }\]

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Jhannybean
  • Jhannybean
Hope that's not too complicated! :(
dumbcow
  • dumbcow
never leave a square root in denominator either... \[\frac{1}{\sqrt{x}}*\frac{\sqrt{x}}{\sqrt{x}} = \frac{\sqrt{x}}{x}\]
anonymous
  • anonymous
Im confused... Lol. This whole thing is confusing. I am just trying to finish up this last question. /:
Jhannybean
  • Jhannybean
What part is confusing?
Jhannybean
  • Jhannybean
Oh, in correlation to what @dumbcow was referring to, \[\frac{ 7 }{ \sqrt{q ^{7}} }*\frac{ \sqrt{q ^{7}} }{ \sqrt{q ^{7}} }=\frac{ 7\sqrt{q ^{7}} }{ q ^{7} }\] As he said,you can't have a radical in the denominator.
anonymous
  • anonymous
\[\frac{ 7q ^{4} }{ \sqrt{q ^{8}}*\sqrt{q ^{7}} }\] = \[\frac{ 7 }{ \sqrt{q ^{7}} }= \frac{ 7 }{ q ^{3}*\sqrt{q} }\] \[ans*\frac{ \sqrt{q} }{ \sqrt{q} }\] =\[\frac{ 7\sqrt{q} }{ q ^{3}*q }=\frac{ 7\sqrt{q} }{ q ^{4} }\]
anonymous
  • anonymous
q^4 = sqrt(q*8)

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