Answer:
[tex]x^8[/tex]
Step-by-step explanation:
Given the expression: [tex]x^3 \cdot x^5[/tex]
We are required to express it in simplified exponential notation.
We apply the addition law of indices below.
Given two expressions [tex]a^x$ and a^y[/tex] with same base a, then: [tex]a^x \cdot a^y=a^{x+y}[/tex]
Therefore:
[tex]x^3 \cdot x^5\\=x^{3+5}\\=x^8[/tex]