Answer:
The product of given expressions is [tex]y^{18}[/tex].
Step-by-step explanation:
The given expression is
[tex](y^2)^5\cdot y^8[/tex]
Use the properties of exponent to find the product.
[tex](y^2)^5\cdot y^8=y^{10}\cdot y^8[/tex] [tex][\because (x^m)^n=x^{mn}][/tex]
[tex](y^2)^5\cdot y^8=y^{10+8}[/tex] [tex][\because x^mx^n=x^{m+n}][/tex]
[tex](y^2)^5\cdot y^8=y^{18}[/tex]
Therefore the product of given expressions is [tex]y^{18}[/tex].
