Respuesta :

x= 3/4 because the cube root of 27 is 3 and the cube root of 64 is 4

Answer:

The required value of x is 3/4.

Step-by-step explanation:

Consider the provided equation.

[tex]x^3=\frac{27}{64}[/tex]

We need to solve the equation for x.

The above equation can be written as:

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

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

Cube root of the above equation will be:

[tex]x=\frac{3}{4}[/tex]

Hence the value of x is [tex]\frac{3}{4}[/tex]

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