fully simplify y^-9*y^-3*y^-5

1 answer

To simplify \( y^{-9} \cdot y^{-3} \cdot y^{-5} \), you can use the rule of exponents that states \( a^m \cdot a^n = a^{m+n} \).

First, add the exponents:

\[ -9 + (-3) + (-5) = -9 - 3 - 5 = -17 \]

Now you can write it as a single term:

\[ y^{-9} \cdot y^{-3} \cdot y^{-5} = y^{-17} \]

If you want to express it without a negative exponent, you can write:

\[ y^{-17} = \frac{1}{y^{17}} \]

So, the fully simplified form is:

\[ \frac{1}{y^{17}} \]