Check attached image file.
ANSWER TO QUESTION 1
We rewrite to obtain;
Recall this product law of indices
we apply this law to obtain,
This simplifies to
We need to rewrite this in standard form;
We apply the product law again to get
This simplifies to
ANSWER TO QUESTION 2
We rewrite to obtain;
Recall this product law of indices
we apply this law to obtain,
This simplifies to
This is already in standard form.
EXPLANATION
-A rectangle is a parallelogram. True. Every rectangle is a parallelogram.
-A square is a rhombus. True. Every square is a rhombus.
Every rhombus is a rectangle-->This is NOT always true when the rhombus has not right angles.
-True --> A square is a special type of rectangle because it possesses all the properties of a rectangle.