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Simplify the expression .
MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number
Problem
Simplify the expression
x
2
3
y
1
2
x
−
1
3
y
3
4
\dfrac{x^{\frac{2}{3}}\,y^{\frac{1}{2}}}{x^{-\frac{1}{3}}\,y^{\frac{3}{4}}}
x
−
3
1
y
4
3
x
3
2
y
2
1
. (a)
x
1
3
y
−
1
4
x^{\frac{1}{3}}\,y^{-\frac{1}{4}}
x
3
1
y
−
4
1
(b)
x
y
−
1
4
x\,y^{-\frac{1}{4}}
x
y
−
4
1
(c)
x
y
1
4
x\,y^{\frac{1}{4}}
x
y
4
1
(d)
x
−
1
y
1
4
x^{-1}\,y^{\frac{1}{4}}
x
−
1
y
4
1
Related theory
Laws of Exponents
Real Number System
Laws of exponents for real numbers
Number Systems
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