Question

simplify. express your answer using
$\frac{6y^{7}}{6y cdot y^{5}}$

Explanation:

Step1: Simplify denominator terms

First, combine the $y$ terms in the denominator using the exponent rule $a^m \cdot a^n = a^{m+n}$.
Denominator: $6y \cdot y^8 = 6y^{1+8} = 6y^9$
The expression becomes: $\frac{6y^7}{6y^9}$

Step2: Cancel constant coefficients

Divide the constant terms in numerator and denominator.
$\frac{6}{6} = 1$, so the expression simplifies to $\frac{y^7}{y^9}$

Step3: Simplify variable exponents

Use the exponent rule $\frac{a^m}{a^n} = a^{m-n}$.
$y^{7-9} = y^{-2}$
We can rewrite this as a positive exponent: $\frac{1}{y^2}$

Answer:

$\frac{1}{y^2}$ or $y^{-2}$