For this case we have the following expression:
[tex]y^ 7 * y^ 9 =[/tex]
By definition of multiplication of powers of the same base, we have to put the same base and add the exponents, that is:
[tex]a ^ n * a ^ m = a ^ {n + m}[/tex]
So:
[tex]y ^ 7 * y ^ 9 = y ^{7 + 9} = y ^ {16}[/tex]
Answer:
[tex]y^{16}[/tex]