Respuesta :

mathstudent55
To raise a fraction to an exponent, raise the numerator and the denominator to the exponent.

[tex] (\dfrac{5}{9})^8 = \dfrac{5^8}{9^8} [/tex]

Answer: Choice C.

Answer:

[tex](\frac{5}{9})^8=\frac{5^8}{9^8}[/tex]

Option C is correct

Step-by-step explanation:

[tex]\text{Given the fraction }(\frac{5}{9})^8[/tex]

we have to choose the correct option which is equal to above.

As we know

[tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex]

Put a=5, b=9, m=8

[tex](\frac{5}{9})^8=\frac{5^8}{9^8}[/tex]

Therefore, option C is correct

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