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anonymous
 one year ago
Which of the following expressions are equivalent? Justify your reasoning. Please help Thank you!!
A. \[^{4\sqrt{x ^{3}}}\]
B. \[\frac{ 1 }{ x ^{1} }\]
C.\[^{10}\sqrt{x ^{5}}\times x ^{4}\times x ^{2}\]
D. \[x ^{\frac{ 1 }{ 3 }}\times x ^{\frac{ 1 }{ 3 }}\times x ^{\frac{ 1 }{ 3 }}\]
anonymous
 one year ago
Which of the following expressions are equivalent? Justify your reasoning. Please help Thank you!! A. \[^{4\sqrt{x ^{3}}}\] B. \[\frac{ 1 }{ x ^{1} }\] C.\[^{10}\sqrt{x ^{5}}\times x ^{4}\times x ^{2}\] D. \[x ^{\frac{ 1 }{ 3 }}\times x ^{\frac{ 1 }{ 3 }}\times x ^{\frac{ 1 }{ 3 }}\]

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha hey you think you can help me real quick please?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0first one is \[\huge\rm \sqrt[4]{x^3}\] ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0alright you should know some exponent rules for that question when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\] \[\huge\rm \sqrt[n]{x^m}=x^\frac{ m }{ n }\] you can convert root to an exponent form

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0exponent if there is a negative exponent `flip` the fraction \[\huge\rm x^{m}=\frac{ 1 }{ x^m }\]when you flip the fraction sign of the exponent would change

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0so let's do D first \[\huge\rm x^\frac{ 1 }{ 3} \times x^\frac{ 1 }{ 3 } \times x^\frac{ 1 }{ 3 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for the first one it would be changed to dw:1442352168592:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be dw:1442352301079:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0first rewrite sqrt{x^5} in exponent form

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0is it \[\huge\rm \sqrt[10]{x^5}\] ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would C. be dw:1442352798917:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0hmm not write \[\huge\rm x^{\frac{ 5 }{ 10 }+4+2}\] when we multiply same bases we should add their exponents so 5/10+4+2 = ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wouldn't it be 11/10

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0hmm no there is denominator so we should find common denomiantor

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442353149290:dw 4+2 = 6 so 5/10+6/1

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0dw:1442353207919:dw it's like cross multiplication but don't forget the positive sign when we find common denominator we should multiply the `numerator` of 1st fraction by the denominator of 2nd fraction and multiply the numerator of *2nd *fraction by the denominator of first fraction

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0no common denominator is 10 so that would stay the same dw:1442353470101:dw like this

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0let me know if you didn't understand that :=)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would we simplify it or that would be the end

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right so x^{13}/2 \[\huge\rm x^\frac{ 1 }{ 3} \times x^\frac{ 1 }{ 3 } \times x^\frac{ 1 }{ 3 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the two equivalent ones are D. and B.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you again so much
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