To solve the expression 1/7 ⋅ 1/4^41 using the properties of integer exponents, we need to simplify the exponents.
First, let's simplify 1/4^41. Since the exponent is a negative number, we can use the property a^(-b) = 1 / a^b. Thus,
1/4^41 = 1 / (4^41).
Now, we can rewrite 1/4^41 ⋅ 1/7 as (1 / (4^41)) ⋅ (1/7).
Next, let's use the property of multiplication of fractions, which states that (a/b) ⋅ (c/d) = (a⋅c) / (b⋅d).
Applying this property to our expression, we have ((1⋅1) / (4^41⋅7)).
Further simplifying, we get 1 / (4^41⋅7), which is the final result.
Apply the Properties of Integer Exponents to solve the expression
1/7 ⋅ 1/4^41
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