What is (6y^{1/2})(9y^{1/2}) ?

The solution to (6y^{1/2})(9y^{1/2}) is 54y

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simplify (6y^{1/2})(9y^{1/2})

simplify

(6 y^{\frac{1}{2}}) (9 y^{\frac{1}{2}})

54 y

Solution steps

(6 y^{\frac{1}{2}}) (9 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}}

= 6 \cdot 9 y^{\frac{1}{2} + \frac{1}{2}}

Combine the fractions

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

= 6 \cdot 9 y^{1}

Apply rule

a^{1} = a

y^{1} = y

= 6 \cdot 9 y

Multiply the numbers:

6 \cdot 9 = 54

= 54 y

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