Karstin's+Exponent+rules

Exponent- the number that indicates how many times you multiply the factor Base-Indicates what number you multiply to get the answer Standard form-the “answer” Exponential form-when the number is written as a power Expanded form- a number expanded, multiplied by ten to the power of what number spot it’s in Factored form-An exponent written showing all of the factors. 32 (2)(2)(2) 5-2   5\12 = 1\25 How To? 1. flip the 5 into a fraction 2. multiply 3. answer a) 53 x 54  53+4  57 How To? Keep the base and add b) (5x4 y 43)6 (5x4 y3)9 (5x4 y3)15 How To? 1. The bases are the same on 5x, and y so you only need one 2. Keep one and add the out side exponents. Remember that the bases stay the same. a) 82 % 83   812-3 How To? Keep the base and subtract the exponents. Remember to    8to the power of 9 subtract not add.  (85)3 8 to the power of 15
 * __ Exponent Rules From 3.1-3.10 __**
 * __ 3.1 Positive and Negative exponents __**
 * __ 3.2 Adding Using Exponents __**
 * __ 3.3Division Using Exponents __**
 * __ 3.4 Power of a power property __**

How T0? Keep the base and multiply the exponents Remember to JUST Times 5 and 3. **__3.5 Calculations With Bedmas__** 3-1 x 3-2 1\3+1\3(2) 1\3x2+1\9 2\9+1\9 3\9   How To? 1.flipn’ times 2.Find the same denominator 3.add __Standard form__ __Scientific Notation__
 * __ 3.6 Scientific notation __**

87 000 000 000 8.7x1010 How To? Move the decimal to the left, Add 10 to the power because It was moved over 10 times. 0 000 000 073 7.3x10-9 How To? Move the decimal to the right Subtract nine from the exponent Because it was moved over nine Times. Remember witrh positive exponents * the number to the left of the You move the decimal to the right, and decimal __HAS__ to be in between Negative you move it to the left. 1-9.
 * __ 3.7 Multiplication and Division Using Scientific Notation __**

__Multiplication__

7200000x 43000x 65000000000 (7.2x106) (4.3x104) (6.5x1010) (7.2x4.3x6.5) x (106 x 104 x 1010) 201.24x1020+2 2.0142x1022 How To? 1. Turn into scientific notation 2. Put the numbers in a brackets, and the exponents in the other. 3. Multiply the decimals and exponents 4. Answer (adjust decimal if needed) __Division__ 2250000%2500 (2.25x106)%(2.5x 103) (2.25%2.5) x (106%103) 0.9x103-1 9x102 How To? 1. Turn into scientific notation 2.Put numbers in brackets and exponents in the other 3. Divide 4. Answer (adjust if needed)