To apply the properties of integer exponents and generate equivalent expressions with only positive exponents for the expression \( \frac{4^0 \cdot 5^{-2}}{(-2)^{-3}} \), let's start by simplifying each part:
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Simplify \( 4^0 \): \[ 4^0 = 1 \]
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Simplify \( 5^{-2} \): \[ 5^{-2} = \frac{1}{5^2} = \frac{1}{25} \]
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Simplify \( (-2)^{-3} \): \[ (-2)^{-3} = \frac{1}{(-2)^3} = \frac{1}{-8} = -\frac{1}{8} \]
Now we can substitute these results into the original expression: \[ \frac{4^0 \cdot 5^{-2}}{(-2)^{-3}} = \frac{1 \cdot \frac{1}{25}}{-\frac{1}{8}} = \frac{\frac{1}{25}}{-\frac{1}{8}} \]
To divide by a fraction, we multiply by its reciprocal: \[ \frac{1}{25} \div -\frac{1}{8} = \frac{1}{25} \cdot -8 = -\frac{8}{25} \]
Thus, the simplified expression is: \[ \boxed{-\frac{8}{25}} \]