Answer:
1/y^5.
Explanation:
To simplify y²/y⁷, we can use the quotient rule of exponents, which states that when dividing exponential terms with the same base, we can subtract the exponents. Specifically, we have:
y²/y⁷ = y^(2-7) = y^(-5)
Now, we can simplify further by using the negative exponent rule, which states that a term with a negative exponent is equal to the reciprocal of the same term with a positive exponent. Specifically, we have:
y^(-5) = 1/y^5
Therefore, y²/y⁷ simplifies to 1/y^5.