To simplify the expression [tex]\(\frac{36 y^{12}}{9 y^8}\)[/tex], follow these steps:
1. Simplify the coefficients (numerical part):
[tex]\[
\frac{36}{9}
\][/tex]
Divide 36 by 9:
[tex]\[
\frac{36}{9} = 4
\][/tex]
2. Simplify the variable part (y term):
[tex]\[
\frac{y^{12}}{y^8}
\][/tex]
When dividing variables with exponents, subtract the exponent of the denominator from the exponent of the numerator:
[tex]\[
y^{12 - 8} = y^4
\][/tex]
3. Combine the simplified numerical and variable parts:
[tex]\[
4 \cdot y^4
\][/tex]
Thus, the simplified form of the expression [tex]\(\frac{36 y^{12}}{9 y^8}\)[/tex] is:
[tex]\[
4y^4
\][/tex]
This is your final simplified result.
