Respuesta :

Answer:

[tex](\frac{390625}{256 } )[/tex]

Step-by-step explanation:

The exponent decides how much times does the base needs to multiply itself. In the given expression, the exponent is 4. Thus, 6 1/4 needs to multiply itself 4 times.

  • ⇒ [tex](6 \frac{1}{4}) ^4[/tex]

Convert 6 1\4 into improper fraction

  • ⇒ [tex](\frac{25}{4} ) ^4[/tex]
  • ⇒ [tex](\frac{25}{4})(\frac{25}{4})(\frac{25}{4})(\frac{25}{4})[/tex]
  • ⇒ [tex](\frac{25^{4}}{4^{4} } )[/tex]
  • ⇒ [tex](\frac{390625}{256 } )[/tex]

Thus, the simplified fraction is [tex](\frac{390625}{256 } )[/tex].

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