The expression 3y/27y^n-1 is simplified to give 3 ^ -2n + 1
An index can be defined as a small number that tells us how many times a term has been multiplied by itself.
Indices is the plural form of index
From the expression given, we have:
Let's find the common factor:
= [tex]\frac{3y}{3^3y^n^-^1}[/tex]
We have:
= [tex]\frac{1}{3^2^n^-^1}[/tex]
Take the inverse of the denominator
= [tex]3^-(2^n^-^1^)[/tex]
Expand the bracket of the exponential value
= [tex]3^ -^2^n^+^1[/tex]
Thus, the expression 3y/27y^n-1 is simplified to give 3 ^ -2n + 1
Learn more about index form here:
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