Mathematics
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OpenStudy (anonymous):
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
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OpenStudy (anonymous):
some one please help
OpenStudy (anonymous):
please help @pooja195 and @texaschic101
jimthompson5910 (jim_thompson5910):
is it
\[\Large \sqrt{x}*4\sqrt{x}\]
OR
is it
\[\Large \sqrt{x}*\sqrt[4]{x}\]
OpenStudy (anonymous):
the second one
jimthompson5910 (jim_thompson5910):
\[\LARGE \sqrt{x}*\sqrt[4]{x} = \sqrt[2]{x}*\sqrt[4]{x}\]
\[\LARGE \sqrt{x}*\sqrt[4]{x} = x^{1/2}*x^{1/4}\]
\[\LARGE \sqrt{x}*\sqrt[4]{x} = ???\]
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jimthompson5910 (jim_thompson5910):
do you see how to finish up?
OpenStudy (anonymous):
x^1/8
jimthompson5910 (jim_thompson5910):
you don't multiply the exponents, you add them
OpenStudy (anonymous):
x^3/4
jimthompson5910 (jim_thompson5910):
good, the answer is \[\LARGE x^{3/4}\]
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OpenStudy (anonymous):
oh thank you so much
jimthompson5910 (jim_thompson5910):
no problem
OpenStudy (anonymous):
oh wait one more question
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
go ahead
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OpenStudy (anonymous):
Rewrite in simplest radical form
x
5
6
x
1
6
. Show each step of your process.
jimthompson5910 (jim_thompson5910):
draw it out please
jimthompson5910 (jim_thompson5910):
or use the equation editor
OpenStudy (anonymous):
\[\frac{ x^5/6 }{ ?x^1/6 }\]
jimthompson5910 (jim_thompson5910):
so \(\LARGE x^{5/6}\) all over \(\LARGE x^{1/6}\) ??
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OpenStudy (anonymous):
|dw:1435280726003:dw|
jimthompson5910 (jim_thompson5910):
ok great
jimthompson5910 (jim_thompson5910):
the bases are both x
so we subtract exponents (top - bottom)
|dw:1435280643135:dw|