Verified Answer :

the answer is B because you will  cancel the x^5 part on top and bottom and the numerator left 6^3 and denominator left 6
6^3=216divid by 6 you will get 36

Answer:

Option (b) is correct.

Numerator is \(N=6^3x^5\).

Step-by-step explanation:

Given : A fraction reduces to 36. If its denominator is \(6x^5\).

We have to find the numerator.

Let numerator be N.

and denominator = \(6x^5\).

Fraction (F) is numerator (N) over denominator(D).

\(F=\frac{N}{D}\)

Given : fraction is 36

\(36=\frac{N}{6x^5}\)

\(6^2=\frac{N}{6x^5}\)

Cross multiply , we get,

\((6^2)(6x^5)=N\)

\(N=6^3x^5\)

Thus, numerator is \(N=6^3x^5\).

Option (b) is correct.

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