This is a free lesson from our course in Trigonometry
In this lesson you'll learn (with the help of several examples) how to multiply and divide two exponential terms with the same base. The key to
approaching the multiplication and division of two exponential terms is to remember
the rules.
For multiplication, you should follow the rule a^{m} a^{n} = a^{m
+ n}. When you multiply two numbers or variables with the same
base, you simply add the exponents. This is true for both numbers and variables.
When you divide two exponential numbers or variables with the same base, you subtract
the exponents. When you divide an exponential number by itself, the exponent is
0. When you divided by a larger exponential with the same base, the exponent is
negative. For example, 34 x 32 = 34 + 2 = 36.
On the other hand, when two numbers with the same base are divided, follow the rule am/an = am  n. For example, 34/32 = 34  2 = 32. In the situation of "power of a power", the rule is (am)n = am x n. For example, (34)2 = 34 x 2 = 38.
Winpossible's online math courses and tutorials have gained rapidly popularity since
their launch in 2008. Over 100,000 students have benefited from Winpossible's courses...
these courses in conjunction with free unlimited homework help serve as a very effective
mathtutor for our students.

All of the Winpossible math tutorials have been designed by topnotch instructors
and offer a comprehensive and rigorous math review of that topic.

We guarantee that any student who studies with Winpossible, will get a firm grasp
of the associated problemsolving techniques. Each course has our instructors providing
stepbystep solutions to a wide variety of problems, completely demystifying the
problemsolving process!

Winpossible courses have been used by students for help with homework and by homeschoolers.

Several teachers use Winpossible courses at schools as a supplement for inclass
instruction. They also use our course structure to develop course worksheets.