Mathematics
8 Online
OpenStudy (anonymous):
Which of these choices show a pair of equivalent expressions?
A.7^5/7 and (√ 7)^5
B.6^7/2 and (√ 6)^7
C.(4√ 81)^7 and 81^7/4
D.5^2/3 and (√ 5)^3
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OpenStudy (anonymous):
OpenStudy (anonymous):
Please Help
OpenStudy (anonymous):
@satellite73 can you help me please????
OpenStudy (anonymous):
\[47^{\frac{5}{7}}=\sqrt[7]{7^5}\] so not the first one
OpenStudy (anonymous):
\[\huge b^{\frac{m}{n}}=\sqrt[n]{b^n}\] is what you are using
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OpenStudy (anonymous):
so for example \[6^{\frac{7}{2}}=\sqrt{6}^7\]
OpenStudy (anonymous):
clear or no?
OpenStudy (anonymous):
yes clear
OpenStudy (anonymous):
there is another choice that is good as well
OpenStudy (anonymous):
is it D?
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jhonyy9 (jhonyy9):
@satellite73 sorry but the exponent of b inside radical is m not n
OpenStudy (anonymous):
no not D
OpenStudy (anonymous):
C? BUT I THINK ITS JUST B AM I CORRECT? @satellite73
OpenStudy (athecool):
Do you still need help?
OpenStudy (athecool):
No okay
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OpenStudy (anonymous):
@Athecool yes!
OpenStudy (anonymous):
i dont understand this lol
OpenStudy (anonymous):
i made a typo there, should be \[\huge b^{\frac{m}{n}}=\sqrt[n]{b^m}\]
OpenStudy (anonymous):
it is just notation
so for example \[\huge 7^{\frac{5}{4}}=\sqrt[4]{7}^5\]
OpenStudy (anonymous):
ok @satellite73
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OpenStudy (anonymous):
it stays the same correct? @satellite73