EXPONENTIAL RULES - Rule 3
EXPONENTIAL RULES - Rule 3
Rule 3: When there are two or more exponents to the same base, multiply them.
Example 1: 
can be written 
. According to Rule 1, we
can add the exponents. can now be written 
.
According to Rule 3, we could have gone directly to the answer by
multiplying the exponents
Example 2: Simplify 
. According to Rule 3, the answer is 
.
Example 3: Simplify 
. The
expression can be written
You could go directly to the answer by multiplying all the exponents.
Example 4: Simplify 
. The
solution is as follows:
If you would like to review another example, click on Example.
Work the following problems. If you want to check the answer and review the solution, click on Answer.
Problem 1: Simplify 
.
Problem 2: Simplify 
.
Problem 3: Simplify 
.
Problem 4: If you invested $5,000 in a bank account that pays 12% interest per year compounded monthly, and you leave the money in the account for five years, how much money will be in your account after five years.
Problem 5: You have $1,000 in your account and will need $3,000 in ten years.
You decide to invest your money in the following manner: You invest the $1,000 for three years
at 12% compounded monthly. You then take the proceeds and invest them for one year at 11%
compounded weekly. You then take the proceeds and invest them for two years at 10% compounded daily (360 days in a bank year). How much money would you have in the bank after the six years. How much interest will you need to get if you invest the proceeds for the last four years compounded annually?
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