What is 5sqrt(y)sqrt(y)sqrt(y)y ?

The solution to 5sqrt(y)sqrt(y)sqrt(y)y is 5y^{5/2}

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simplify 5sqrt(y)sqrt(y)sqrt(y)y

simplify

5 y y y y

5 y^{\frac{5}{2}}

Solution steps

5 y y y y

Apply exponent rule:

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

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

= 5 y^{\frac{1}{2} + \frac{1}{2} + \frac{1}{2}} y

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

= 5 y y^{\frac{3}{2}}

Apply exponent rule:

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

y^{\frac{3}{2}} y = y^{\frac{3}{2} + 1}

= 5 y^{\frac{3}{2} + 1}

y^{\frac{3}{2} + 1} = y^{\frac{5}{2}}

= 5 y^{\frac{5}{2}}

(22 x^{4}) (5 x^{5})

e^{- X}

(3 (x - 4))^{x - 4}

5.32 \cdot 1 0^{- 4}

What is 5sqrt(y)sqrt(y)sqrt(y)y ?
The solution to 5sqrt(y)sqrt(y)sqrt(y)y is 5y^{5/2}