diff --git a/Grade 9/Math/MPM1DZ/Unit 1: Essential Skills.md b/Grade 9/Math/MPM1DZ/Unit 1: Essential Skills.md index 780d405..5850334 100644 --- a/Grade 9/Math/MPM1DZ/Unit 1: Essential Skills.md +++ b/Grade 9/Math/MPM1DZ/Unit 1: Essential Skills.md @@ -95,12 +95,12 @@ | Rule | Description| Example | |:----:|:----------:|:-------:| |Product|$`a^m \times a^n = a^{n+m}`$|$`2^3 \times 2^2 = 2^5`$| - |Quotient|$`a^m \divide a^n = a^{n-m}`$|$`3^4 \divide 3^2 = 3^2`$| + |Quotient|$`a^m \div a^n = a^{n-m}`$|$`3^4 \div 3^2 = 3^2`$| |Power of a Power|$`(a^m)^n = a^mn`$|$`(2^3)^2 = 2^6`$| - |Power of a Quotient|<img src="http://latex2png.com/output//latex_9528cf1be9ea781a9134559f27f6b94b.png" width="25"> = <img src="http://latex2png.com/output//latex_8c4a93634d0e2f5cfce05b474ebf2f02.png" width="15">|<img src="http://latex2png.com/output//latex_74d1af968da0b70a335c8d93273635e9.png" width="25"> = <img src="http://latex2png.com/output//latex_2040cef99eca664c295bd74848f0779f.png" width="15">| - |Zero as Exponents|a<sup>0</sup> = 1|21<sup>0</sup> = 1| - |Negative Exponents|a<sup>-m</sup> = <img src="http://latex2png.com/output//latex_0223494d8dd45b887178dcecbbfeb462.png" width="20">|1<sup>-10</sup> = <img src="http://latex2png.com/output//latex_4765f9318cc4813f30321334b18635eb.png" width="20">| - |Rational Exponents|a<sup>n/m</sup> = <img src="http://latex2png.com/output//latex_33a019fd887e207917a831e5b5fd20e5.png" width="50">|<img src="http://latex2png.com/output//latex_af91e3845b91443f5fcf11fcf59368d3.png" width = "35"> = <img src="http://latex2png.com/output//latex_33a019fd887e207917a831e5b5fd20e5.png" width="50">| + |Power of a Quotient|$`(\dfrac{a}{b})^n = \dfrac{a^n}{b^n}`$|$`(\dfrac{2}{3})^4 = \dfrac{2^4}{3^4}`$| + |Zero as Exponents|$`a^0 = 1`$|$`21^0 = 1`$| + |Negative Exponents|$`a^{-m} = \dfrac{1}{a^m}`$|$`1^{-10} = \dfrac{1}{1^{10}}`$| + |Rational Exponents|$`a^{\frac{n}{m}} = (\sqrt[m]{a})^n`$|$`16^{\frac{5}{4}} = (\sqrt[4]{16})^5`$| **Note:** - Exponential Form --> Expanded Form