The simplified form of the given expression is [tex]\frac{1}{4^{15}}[/tex].
The given expression is [tex](4^{-5} )^{3}[/tex].
We need to simplify the given expression.
Exponentiation is a mathematical operation, written as bⁿ, involving two numbers, the base b and the exponent or power n, and pronounced as "b raised to the power of n".
Now, [tex](4^{-5} )^{3}=4^{(-5) \times 3} =4^{-15} =\frac{1}{4^{15}}[/tex].
Therefore, the simplified form of the given expression is [tex]\frac{1}{4^{15}}[/tex].
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