EXPONENTIAL RULES - Problem 2
EXPONENTIAL RULES - Problem 2
Rule 3: When there are two or more exponents to the same base, multiply them.
Problem 2: Simplify 
.
Answer: 
Solution. You can solve this problem the hard way by using Rule 1 or you can solve it the easy way by using Rule 3.
Easy Way:
Hard Way: Write 
as
which in turn can be written
Now write 
as 
The problem can now be written
You can check the answer with your calculator. Find the value of by first
finding the value of 
and 
. The problem is now
simplified to 
. Now find the value of 
and 
.
Substitute these values in the expression to form the expression 
which can be simplified to
Now find the value of the answer 
. Since the two answers are the same, you have worked the problem correctly.
If you have forgotten what 
means, it means that
the actual decimal point is located 39 units to the right of the decimal
point in 5.44518. If the exponent of the 10 had been negative, it would have meant that the actual decimal point is located to the left of the decimal point in 5.44518.
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Author: Nancy Marcus