Respuesta :

Answer:

81/256

Step-by-step explanation:

3/4*3/4*3/4*3/4

first multiply the numerators (3) together, which equals 81

then multiply the denominators (4) together, which equals 256

81/256 can't be simplified further

Answer:

[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]

Reasoning:

According to exponent law:

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

Now apply this to your problem.

[tex](\frac{3}{4} )^{4}[/tex]

[tex](\frac{3^4}{4^4} )[/tex]

[tex](\frac{81}{256} )[/tex]