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diff --git a/lessons/matematika/1-exponents/1.md b/lessons/matematika/1-exponents/1.md index 5dc2a6e..b8224b2 100644 --- a/lessons/matematika/1-exponents/1.md +++ b/lessons/matematika/1-exponents/1.md @@ -7,21 +7,41 @@ # Exponent Operations ## Multiplication +If an exponented number is multiplied by another exponented number, the exponents would be summed together (instead of being multiplied) + \\( a^x \times b^y = (a \times b)^{x + y} \\) * \\( 10^4 \times 2^2 = (10 \times 2)^{4 + 2} = 20^6 \\) ## Division +If an exponented number is multiplied by another exponented number, the exponents would be subtracted together (instead of being divided) + \\( a^x \div b^y = (a \div b)^{x - y} \\) * \\( 10^3 \div 2^4 = (10 \div 2)^{(4 - 2)} = 5^2 = 25 \\) ## Exponent +If an exponented number is exponented, multiply the exponents together. + +\\( (a^x)^y = a^{x \times y} \\) +* \\( (2^2)^3 = 2^{2 \times 3} = 2^6 = 64 \\) + +# Special Exponents +Some exponents feel better than the other, and Mathemathics agrees with them. ## Zero Exponent +If a number is raised to the power of **zero**, the result is **one**. + +\\( a^0 = 1 \\) +* \\( 5^0 = 1 \\) +* \\( 69.420^0 = 1 \\) ## Negative Exponent +If a number is raised to a negative power, also called as an inverse, it would be equal to... + +\\( a^{-b} = \dfrac{1}{a^b} \\) + ## Fractional Exponent -## Examples +# Examples -# Exponential Equation +## Exponential Equation |