Answer:
(a)

(b)

(c)

(d)

Explanation:
We need to simplify the given expressions.
(a)
Consider the given expression is

Using the property of exponent, we get
![[\because a^ma^n=a^(m+n)]](https://img.qammunity.org/2021/formulas/mathematics/college/7l9zywcs60fbjnbh6fxchkskz1wmsk0t1u.png)

(b)
Consider the given expression is

Using the property of exponent, we get
![[\because (a^m)^n=a^(mn)]](https://img.qammunity.org/2021/formulas/mathematics/college/krg12y55mn3lg29ils6fr6zfzkkleu4pxx.png)

(c)
Consider the given expression is

Using the property of exponent, we get
![[\because a^(-n)=(1)/(a^n)]](https://img.qammunity.org/2021/formulas/mathematics/college/5dpid4qpszfk87lo1l2eubk7z0sfjghcig.png)

(d)
Consider the given expression is

Using the property of exponent, we get
![[\because (a^m)/(a^n)=a^(m-n)]](https://img.qammunity.org/2021/formulas/mathematics/college/knj6p7x7yqrk4hzq1mc9eob3ggob60u0j0.png)
