Find the product. (y^2)^5 · y 8
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 \(y^{18}\).