Here we need to use the exponent property:
[tex](\frac{a}{b} )^n = \frac{a^n}{b^n}[/tex]
Using this, we will see that the given expression is equal to:
[tex]\frac{1}{64}[/tex]
We start with:
[tex](\frac{1}{4} )^3[/tex]
Now we can use the above property to rewrite this as:
[tex](\frac{1}{4} )^3 = \frac{1^3}{4^3}[/tex]
Now we know that:
1^3 = 1
4^3 = 4×4×4 = 16×4 = 64
Now we can replace these in the above expression to get:
[tex](\frac{1}{4} )^3 = \frac{1}{64}[/tex]
If you want to learn more, you can read:
https://brainly.com/question/219134
