16+-+Sec.+8.1D

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by: Nick L., Lynette L., Alexis T.
 * __Section 8.1 D- Multiplication Properties of Exponents: power of a power and power of a product __**

** Description : ** · **A power to a power is a number times itself a certain amount of times ** · **An exponent tells us how many times a number should be multiplied by itself. ** For example: 2³ is the same as 2 ⋅ 2 ⋅ 2

ex: (//x// 3 )(//x// 4 ) = (//xxx//)(//xxxx//) = //xxxxxxx// = **//x//** 7

** ex: ( ** //**x**// m **) ( //x//** n **) = //x//** **(** m+n **)** If you would like to do more practice problems, then just click on the link below and it will lead you to a website which tells you in detail about properties of exponents. Extra Examples

Examples
 *  [(xy) ² ] ³= (x ² y  2 ) ³= x 6 y <span style="color: #ff0000; font-family: 'Times New Roman',Times,serif; font-size: 172.8%; vertical-align: super;">6
 * ** (x 2 ) 6 =x 2*6 =x 12 **
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%;">[(n+2**)** ³ **]** ²= (N+2) ³* <span style="color: #000000; font-family: 'Calibri','sans-serif'; font-size: 11pt; line-height: 115%;">² = (N+2) <span style="color: #000000; font-family: 'Calibri','sans-serif'; font-size: 11pt; line-height: 115%; vertical-align: super;">6

We are trying to teach you that any number that is outside the parenthesis (//y//3)4 will be multiplied by the inside number. So 3<span style="color: red; font-family: 'Cambria Math','serif'; font-size: 14pt; line-height: 115%;">⋅ 4=12 so the answer would be y^12.

3 Practice Problems to solve: MORE Practice Problems on the link below: http://www.coolmath.com/crunchers/algebra-problems-exponent-rules-5.htm
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%;">simplify: [(2s*4e) <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%; vertical-align: super;">7 <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%;">] <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%; vertical-align: super;">2
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%;">(d <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%; vertical-align: super;">4 <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%;">) <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%; vertical-align: super;">4
 * <span style="color: #000000; font-family: 'Times New Roman',Times,serif; font-size: 120%;">-2(x ² <span style="font-family: 'Calibri','sans-serif'; font-size: 11pt; line-height: 115%;">y ³ ) ³