<PRE><B>Question 35051</B>
&lt;pre&gt;&lt;font size = 4&gt;&lt;b&gt;THE SQUARE OF 50p^16q^8 means

(50p&lt;sup&gt;16&lt;/sup&gt;q&lt;sup&gt;8&lt;/sup&gt;)&lt;sup&gt;2&lt;/sup&gt; 

Give the 50 a 1 exponent so that every factor inside
the parentheses will have an exponent showing.

(50&lt;sup&gt;1&lt;/sup&gt;p&lt;sup&gt;16&lt;/sup&gt;q&lt;sup&gt;8&lt;/sup&gt;)&lt;sup&gt;2&lt;/sup&gt;

The 2 is called the OUTSIDE exponent, since it&#39;s outside the 
parentheses.  The 1, the 16 and the 8 are called the
INSIDE exponents, because they are inside the parentheses.

Next, remove the parentheses by multiplying each INSIDE
exponent by the OUTSIDE exponent:

50&lt;sup&gt;1×2&lt;/sup&gt;p&lt;sup&gt;16×2&lt;/sup&gt;q&lt;sup&gt;8×2&lt;/sup&gt;

50&lt;sup&gt;2&lt;/sup&gt;p&lt;sup&gt;32&lt;/sup&gt;q&lt;sup&gt;16&lt;/sup&gt;

Now since 50&lt;sup&gt;2&lt;/sup&gt; means 50×50 or 2500, the final answer is

2500p&lt;sup&gt;32&lt;/sup&gt;q&lt;sup&gt;16&lt;/sup&gt;

Edwin
AnlytcPhil@aol.com&lt;/pre&gt;</PRE>