196k views
1 vote
Answer this question please give explanation and also give me some questions on surds with answers pls! and some links

Answer this question please give explanation and also give me some questions on surds-example-1
User Phnah
by
9.0k points

2 Answers

6 votes

Answer:

(16)3/4 = 8

Explanation:

User Lexicore
by
8.4k points
7 votes

Answer: 8

Explanation:

Recall from the law of indices ;

Given
a^{(m)/(n)} , it could be written as
\sqrt[n]{a^(m)}

Therefore :


16^{(3)/(4)} can be written as :


\sqrt[4]{16}) ^(3)

The fourth root of 16 = 2 that is 2x2x2x2 = 16

so the expression
\sqrt[4]{16}) ^(3) becomes


2^(3)

which will be 8

Therefore :


16^{(3)/(4)} = 8

User Runcorn
by
8.6k points

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