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Popular >

simplify sqrt(y)*y^{-1/2}

Solution

simplify

y \cdot y^{- \frac{1}{2}}

Solution

1

Solution steps

y y^{- \frac{1}{2}}

Apply radical rule:

a = a^{\frac{1}{2}}

y = y^{\frac{1}{2}}

= y^{\frac{1}{2}} y^{- \frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{\frac{1}{2}} y^{- \frac{1}{2}} = y^{\frac{1}{2} - \frac{1}{2}}

= y^{\frac{1}{2} - \frac{1}{2}}

Add similar elements:

\frac{1}{2} - \frac{1}{2} = 0

= y^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

What is sqrt(y)*y^{-1/2} ?
The solution to sqrt(y)*y^{-1/2} is 1