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Which expression is equivalent to n5 • k5 • n-5 • k?



a. N^5 k


b. N^-25 k^5


c. K^6


d. (nk)^6


Sagot :

The expressions are algebraic expressions, and the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

How to determine the equivalent expression?

The expression is given as:

n⁵ * k⁵ * n⁻⁵ * k

Rewrite the expression as:

n⁵ * k * n⁻⁵ * k = n⁵ * n⁻⁵ * k⁵ * k

Apply the law of indices

n⁵ * k * n⁻⁵ * k = k⁶

Hence, the equivalent expression of n⁵ * k * n⁻⁵ * k is k⁶

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Answer:

k^6

Step-by-step explanation: