Exponent Project

The rules of Exponents

Product of exponent

To find a product of exponents you have to have the same base number and then just add the two exponents. Example: (43) (45) that would equal 48.


Power of a power

To find the power of a power you would have to multiply the two exponents given for example, (34)2= 38.

More rules of exponents

Power of a product

To find the power of a product in exponents you have to distribute the exponent to both numbers.

Example: (6x)2= 62x2

Quotient of powers

When you have a quotient of a property you would subtract the two exponents. The top number minus the bottom number.

Example: 57/53 = 54


Power of quotients property

When you have the power of a quotient property all you have to do is distribute the exponent to the top and bottom number. Then multiply.

Example: (⅔)2 = 22/32 = 4/9


Zero exponent

When you have the power of a quotient property all you have to do is distribute the exponent to the top and bottom number. Then multiply.

Example: (⅔)2 = 22/32 = 4/9


Exponent of negative numbers

When you have the power of a quotient property all you have to do is distribute the exponent to the top and bottom number. Then multiply.

Example: (⅔)2 = 22/32 = 4/9

Growth and Decay

Growth and decay- Exponential Growth is when the growth of a mathematical rate increases. Exponential decay occurs when the change is negative or decreases.

Fractional Exponents

Fractional exponents is when you have something like x2/3. To solve this all you have to do is put it in root form. 3(square root)X 2.