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positive exponents - provide whole # (or integer) outcome negative exponents - provide a rational # outcome make a fraction positive/negative Zero exponents - Answer is ALWAYS 1 Examples 3^3 3^2 3^1 3^0 3^-1 3^-2 3^-3 27 9 1 1 1/3 1/9 1/27 A 7^-3 1/343B 81,000^0 1C 5^3 10^-2 5^3/10^2 5x5x5/10x10= 125/100= 5/4 1. 3^2 x^-5 y^3/3^-1 x^5 y move every negative 3^2 3^1 y^3/x^5 x^5 y 3x3x3xYxYxY/ XxXxXxXxXxXxXxXxXxXxy
Scientific notation- method of writing very large #s as a decimal multiplied by a power of 10 3,406,000= 3.406 x 10^6 0.0000012= 1.2 x 10^-6 powers of 101. 10^5= 100,000 2. 10^-7 = 1/10^7 0.00000013. 10,000,000,000= 10^10 4. 0.0000000000001= 10^-14 order the numbers 5.2 x 10^-3, 3 x 10^14, 4 x 10^-3, 2.1 x 10 ^-12, 4.5 x 10^302.1 x 10^-12, 4 x 10^-12, count the 0's and that is the power of ten
X^m x X^n = X^m+n 6^-7 x 6^10 = 6^-7+ 10 = 6^3= 6x 6x 6= 216X^-3 x X^5 x X^8= X^-3+5+8 = X^10 2^2 x 2^5= 2x2x2x2x2x2x2 = 2^7 = 1283^-1 x 3^-3= 3^-4= 1/34= 1/81 (2.5 x 10^8) (6,000)
x^m/x^n= x^m-n 3^5/3^3 = 3^5-3
3x^2 y /2^-2 x^2 y^3 = x^2-2 y^1-3 = x^0 y^-2 /y^2 3/2^-2 move 2 to the top because of the negative exponent3x 2^2= 1212/y^2
7-1 Integer Exponents pg 449
7-2 powers of 10 science notation
7-3 multiplication prop of exponents
7-4 / properties of exponents
7-5 integer exponents/ rules X and / exponents
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