Verified Answer :

(y^2)^5 y^8 = y^10 y^8 = y^18

hope this will help you

Answer:

The product of given expressions is \(y^{18}\).

Step-by-step explanation:

The given expression is

\((y^2)^5\cdot y^8\)

Use the properties of exponent to find the product.

\((y^2)^5\cdot y^8=y^{10}\cdot y^8\)        \([\because (x^m)^n=x^{mn}]\)

\((y^2)^5\cdot y^8=y^{10+8}\)        \([\because x^mx^n=x^{m+n}]\)

\((y^2)^5\cdot y^8=y^{18}\)

Therefore the product of given expressions is \(y^{18}\).