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What is the following product? 4√7*4√7*4√7*4√7

What is the following product? 4√7*4√7*4√7*4√7-example-1

1 Answer

3 votes

Answer:


7

Explanation:

we have


\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7}

we know that


\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7}=(\sqrt[4]{7})^(4)


(\sqrt[4]{7})^(4) =(7^{(1)/(4)})^(4)


(7^{(1)/(4)})^(4)= (7^{(4)/(4)})


(7^{(4)/(4)}) =7

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