Math  /  Algebra

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Simplify using the quotient rule, if possible. y8y2\frac{y^{8}}{y^{2}} your choice. A. y852=\frac{y^{8}}{5^{2}}= \square (Type exponential notation with positive exponents.) B. The expression cannot be simplified.

Studdy Solution
Apply the quotient rule for exponents, which states:
aman=amn\frac{a^m}{a^n} = a^{m-n}
In this case, apply the rule to get:
y8y2=y82\frac{y^{8}}{y^{2}} = y^{8-2}
Simplify the exponent:
y82=y6y^{8-2} = y^{6}
Thus, the simplified expression is:
y6\boxed{y^{6}}

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