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QUESTION IMAGE

simplify. \\(\\frac{y^{7}}{y^{2}}\\)

Question

simplify.
\\(\frac{y^{7}}{y^{2}}\\)

Explanation:

Step1: Apply exponent rule for division

When dividing exponents with the same base, we subtract the exponents. The rule is $\frac{a^m}{a^n}=a^{m - n}$ (where $a
eq0$). Here, the base is $y$, $m = 7$ and $n=2$. So we have $\frac{y^{7}}{y^{2}}=y^{7 - 2}$.

Step2: Calculate the exponent

Subtract the exponents: $7-2 = 5$. So $y^{7-2}=y^{5}$.

Answer:

$y^{5}$