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Express (a^10/3)(b^7/3) in simplified radical form

 Jun 13, 2016

Best Answer 

 #4
avatar+9665 
+5

That's a misleading proof though.

You mean this: \((\frac{a^{10}}{3})(\frac{b^7}{3})\)

But I mean this: \((a^{\frac{10}{3}})(b^{\frac{7}{3}})\)

There are major differences between the 2 equations.

And I guess the asker means my equation because he said simplified radical form and that's a term for 'Law of Indices'.

 Jun 14, 2016
 #1
avatar
+2

Simplify the following:
(a^10 b^7)/(3×3)
3×3  =  9:
Answer: |  (a^10 b^7)/9

 Jun 14, 2016
 #2
avatar+9665 
+5

\(a^{\frac{10}{3}}b^{\frac{7}{3}}= \sqrt[3]{a^{10}b^7}\)

.
 Jun 14, 2016
 #3
avatar
+3

Express (a^10/3)(b^7/3) in simplified radical form

 

Proof: let a=3, b=2

(3^10/3) x (2^7/3) =839,808

(3^10 x 2^7) / 9 =839,808

 

MaxWong's Solution:

[3^10 x 2^7]^(1/3)=196.25

It is NOT: a^(10/3), or b^(7/3)!!!.

 Jun 14, 2016
 #4
avatar+9665 
+5
Best Answer

That's a misleading proof though.

You mean this: \((\frac{a^{10}}{3})(\frac{b^7}{3})\)

But I mean this: \((a^{\frac{10}{3}})(b^{\frac{7}{3}})\)

There are major differences between the 2 equations.

And I guess the asker means my equation because he said simplified radical form and that's a term for 'Law of Indices'.

MaxWong  Jun 14, 2016

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