An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression when simplified is equal to 25/27. The correct option is B.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be simplified as shown below,
(3²·3⁻⁵) / (5⁻²)
Using the rule of exponentials, x⁻ⁿ = 1/xⁿ,
= 3² · 3⁻⁵ · 5²
Using the rule of exponentials, mⁿ · mᵇ = m⁽ⁿ⁺ᵇ⁾,
= 3⁽²⁻⁵⁾ · 5²
= 3⁻³ · 5²
Using the rule of exponentials, x⁻ⁿ = 1/xⁿ,
= 5²/3³
= 25/27
Hence, the value of the given expression when simplified is equal to 25/27.
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