# How do you evaluate the expression #(1/5)^-4/((1/5)^-2(1/5)^-5)# using the properties?

Putting it all together we have:

Final Answer

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To evaluate the expression ((1/5)^{-4}/((1/5)^{-2}(1/5)^{-5})), you can use the properties of exponents.

Step 1: Simplify the exponents inside the parentheses separately. ((1/5)^{-2} = (5/1)^{2} = 25) ((1/5)^{-5} = (5/1)^{5} = 3125)

Step 2: Substitute the simplified values into the expression. ((1/5)^{-4}/((1/5)^{-2}(1/5)^{-5}) = (1/5)^{-4}/(25 * 3125))

Step 3: Simplify further. ((1/5)^{-4}/(25 * 3125) = (5/1)^{4}/(25 * 3125) = 625/78125)

Step 4: Evaluate the division. (625/78125 = 1/125)

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