Question

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

Answer 1

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:

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