How do you simplify ${(y^{5})}^{\frac{1}{2}}$ $(y^5)^(1/2)$ ?

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Answer 1 · 2017-01-03T00:45:16

Use the rule for exponents: ${(x^{a})}^{b} = x^{a \cdot b}$ $color(red)((x^a)^b = x^(a*b))$

$\frac{{(y^{5})}^{1}}{2} = y^{5 \cdot \frac{1}{2}} = y^{\frac{5}{2}}$ $(y^5)^1/2 = y^(5*1/2) = y^(5/2)$

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