how can the expression (2.2)^3·(2.2)^8 be rewritten applying the laws of exponents? select all that apply…

Explanation:

Step1: Recall exponent - law

For expressions of the form $a^m\cdot a^n$ (where $a$ is the base and $m,n$ are exponents), the product - of - powers rule states that $a^m\cdot a^n=a^{m + n}$. In the given expression $(2.2)^3\cdot(2.2)^8$, the base $a = 2.2$, $m = 3$ and $n=8$.

Step2: Apply the rule

According to the product - of - powers rule, we keep the base $2.2$ the same and add the exponents $3$ and $8$. So, $(2.2)^3\cdot(2.2)^8=(2.2)^{3 + 8}=(2.2)^{11}$.

Answer:

D. Keep the base, and add the exponents.