What is 2sqrt(2)x^5y^5sqrt(y) ?

The solution to 2sqrt(2)x^5y^5sqrt(y) is 2sqrt(2)x^5y^5sqrt(y)

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simplify 2sqrt(2)x^5y^5sqrt(y)

simplify

22 x^{5} y^{5} y

22 x^{5} y^{5} y

Solution steps

22 x^{5} y^{5} y

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{5} y^{5} = (x y)^{5}

= 22 y (x y)^{5}

(x y)^{5} = x^{5} y^{5}

= 22 x^{5} y^{5} y

(3 - 2) (3 - 2)

(e^{- \frac{x}{9}})^{2}

What is 2sqrt(2)x^5y^5sqrt(y) ?
The solution to 2sqrt(2)x^5y^5sqrt(y) is 2sqrt(2)x^5y^5sqrt(y)