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The nested radical can be written in the form
MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number
Problem
The nested radical
y
3
4
\sqrt[4]{\sqrt{y^{3}}}
4
y
3
can be written in the form
y
k
y^{k}
y
k
. What is the value of
k
k
k
? (a)
1
8
\dfrac{1}{8}
8
1
(b)
3
4
\dfrac{3}{4}
4
3
(c)
3
8
\dfrac{3}{8}
8
3
(d)
1
4
\dfrac{1}{4}
4
1
Related theory
Laws of Exponents
Real Number System
Laws of exponents for real numbers
Number Systems
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