Respuesta :
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that is equal to 1/n¹⁸ is (n⁻³)⁶.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equal to 1/n¹⁸ can be found using the exponential properties,
a.) (n²)⁹
(n²)⁹ = n¹⁸
Thus, this is not the expression we need.
b.) (n⁻⁹)⁻²
(n⁻⁹)⁻² = n¹⁸
Thus, this is not the expression we need.
c.) (n⁻⁶)⁻³
(n⁻⁶)⁻³ = n¹⁸
Thus, this is not the expression we need.
d.) (n⁻³)⁶
n⁻¹⁸ = 1/n¹⁸
Thus, this is the expression we need.
Hence, the expression that is equal to 1/n¹⁸ is (n⁻³)⁶.
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