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

Answer:
[tex]7[/tex]
Step-by-step explanation:
we have
[tex]\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7}[/tex]
we know that
[tex]\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7} *\sqrt[4]{7}=(\sqrt[4]{7})^{4}[/tex]
[tex](\sqrt[4]{7})^{4} =(7^{\frac{1}{4}})^{4}[/tex]
[tex](7^{\frac{1}{4}})^{4}= (7^{\frac{4}{4}})[/tex]
[tex](7^{\frac{4}{4}}) =7[/tex]