mkingjr2000p34qz0 mkingjr2000p34qz0
  • 07-06-2018
  • Mathematics
contestada

what's the product ^4sqrt7 ^4sqrt7 ^4sqrt7 ^4sqrt7
a. 4(^4sqrt7)
b. 4sqrt7
c. 7^4
d. 7

Respuesta :

ellianent ellianent
  • 07-06-2018
I've seen answers likes these - { (\sqrt{7}) }^{4} = {( { \sqrt{7} }^{2}) }^{2} = {7}^{2} = 49

The answer is d. 7 though
Answer Link
carlosego
carlosego carlosego
  • 07-06-2018
For this case we have the following expression:
 [tex] \sqrt[4]{7} * \sqrt[4]{7} * \sqrt[4]{7} * \sqrt[4]{7} [/tex]
 Rewriting the expresion we have that for power properties: 
 [tex] 7^{1/4 + 1/4 + 1/4 + 1/4} [/tex]
 Adding the exponents we have:
 [tex] 7^{4/4} 7^{1} 7[/tex]
 Answer:
 the product is: 
 
d. 7
Answer Link

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good job