Question

What's the product ^4sqrt7 ^4sqrt7 ^4sqrt7 ^4sqrt7

a. 4(^4sqrt7)
b. 4sqrt7
c. 7^4
d. 7

Answer 1

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

The answer is d. 7 though

Answer 2

For this case we have the following expression:

`\sqrt[4]{7} * \sqrt[4]{7} * \sqrt[4]{7} * \sqrt[4]{7}`
Rewriting the expresion we have that for power properties:

`7^(1/4 + 1/4 + 1/4 + 1/4)`
Adding the exponents we have:

`7^(4/4) 7^(1) 7`
Answer:
the product is:
d. 7