Question

Which of the following is equal to this expression?

(256·64)^1/4
A) 4·
`\sqrt[4]{4}`
B) 8·
`\sqrt[4]{4}`
C) 8·
`\sqrt[4]{2}`
D) 2·
`\sqrt[4]{2}`

Answer 1

B)
`8\sqrt[4]{4}`

Explanation:

`(2^(8) *2^(6) )^(1)/(4) = (2^(8+6) )^(1)/(4) =(2^(14) )^(1)/(4) =2^{(7)/(2) }=\sqrt{2^(7) } =2^(3) √(2) =8√(2) = 8\sqrt[4]{2^(2) } = 8\sqrt[4]{4}`