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amandathang9211 amandathang9211
  • 31-05-2016
  • Mathematics
Answered

What is the simplified form of the expression?

What is the simplified form of the expression? class=

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 31-05-2016

remember
(x^m)/(x^n)=x^(m-n)

(q^(33/4))/(q^8)=q^((33/4)-8)
what is 33/4-8?
33/4-8=33/4-32/4=1/4

result is
q^1/4 or \(\sqrt[4]{q}\)

answer is \(q^{ \frac{1}{4} }\)

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Panoyin
Panoyin Panoyin
  • 31-05-2016

\(\frac{q^{\frac{33}{4}}}{q^{8}} = \frac{\sqrt[4]{q^{33}}}{q^{8}} = \frac{q^{8}\sqrt[4]{q}}{q^{8}} = \sqrt[4]{q}\)

Answer Link

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