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}

Japzdivino asked May 15, 2023

132,867 views

39 votes

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·
$\sqrt[4]{2}$

Japzdivino asked May 15, 2023

2.8k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

13 votes

Answer:

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

Explanation:

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

Derpoliuk answered May 21, 2023

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers