Respuesta :

frika

Answer:

3

Step-by-step explanation:

1. Note that [tex]9=3^2.[/tex]

2. Use property [tex](a^m)^n=a^{m\cdot n},[/tex] then

[tex]9^2=(3^2)^2=3^{2\cdot 2}=3^4.[/tex]

3. Use the same property, thus

[tex](9^2)^{\frac{1}{4}}=(3^4)^{\frac{1}{4}}=3^{4\cdot \frac{1}{4}}=3^1=3.[/tex]

kudzordzifrancis

ANSWER

3

EXPLANATION

The given expression is

[tex] {(9}^{2} )^{ \frac{1}{4} } [/tex]

Recall and use the property:

[tex] ({a}^{m})^{n} = {a}^{mn} [/tex]

[tex] = {(9})^{ 2 \times \frac{1}{4} } [/tex]

[tex] = {9}^{ \frac{1}{2} } [/tex]

[tex] = \sqrt{9} [/tex]

[tex] = 3[/tex]

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