Question

Find the missing value for y-^8 · y^? = y^15

? =

Answer 1

To find the missing exponent (represented by "?"), we can use the properties of exponents. The equation you've provided is:

\[
y^{-8} \cdot y^{?} = y^{15}
\]

When we multiply two expressions with the same base, we can add the exponents together. Therefore, we can rewrite the left side of the equation as:

\[
y^{-8 + ?} = y^{15}
\]

Since the bases are the same (both are \(y\)), we can set the exponents equal to each other:

\[
-8 + ? = 15
\]

Now, we can solve for "?":

\[
? = 15 + 8
\]
\[
? = 23
\]

So, the missing value for "?" is:

\[
\boxed{23}
\]