Algebra I: Multiplying and dividing two numbers with same base and different exponents
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 am an = am + 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.
<h2>Algebra I - Multiplying and dividing two numbers with same base and different exponents</h2> <p>exponent, root, multiplying, dividing, laws of exponents, inverse, square root, terms, radical, power, algebra help, practice questions, exponential, terms, radical sign, base, online math, quizzes</p> <p>the multiplication and division of two exponential terms is to remember the rules. <BR>a<SUP>m</SUP> a<SUP>n</SUP> = a<SUP>m+n</SUP>. For example, 3<SUP>4</SUP> 3<SUP>2</SUP> = 3<SUP>4+2</SUP> = 3<SUP>6</SUP>.</p>
Other useful lessons:
Multiplying and dividing different bases with the same exponent
Calculating and working with zero exponents
Calculating and working with negative exponents
Calculate the root
Convert between radicals and fractional exponents
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