Summary of Knowledge:
Our goal in this investigation is make students understand everything clearly about exponents. We are going to show them four exponent rules. This is a very confusing topic, so we will put 100% effort to make it clear.
Key vocabulary:
-irrational numbers: Is an number in which the decimal porcion never ends an it doesn't repite.
-base: The basis of each place value columnin a number system.
-quotient: The answer to the division problem.
-product: The answer to the multiplication problem.
-power: The number of times a base number its multiplied by itself.
Task Analysis:
There are four rules:
-product of power property: to multiple powers having the same base, add the exponent.
-power of power property: to find the power multiply the exponents.
-qoutient of power property: To divide powers having the same base, subtratct the exponents.
-power or the product or quotient property: To find a power of a product or quotient, distribute the exponents over the factors.
Examples:
-product of power: 3^2 * 3^5= 3^(2+5)= 3^7
-power of power: (5^2) ^4= 5^(2*4) =5^8
-quotient of powers: 6^5/6^4= 6^(5-4)= 6^1= 6
-power of a product or quotient: (2/3)^2= 2^2/3^2
For more information visit:
-http://www.algebralab.org/
Our goal in this investigation is make students understand everything clearly about exponents. We are going to show them four exponent rules. This is a very confusing topic, so we will put 100% effort to make it clear.
Key vocabulary:
-irrational numbers: Is an number in which the decimal porcion never ends an it doesn't repite.
-base: The basis of each place value columnin a number system.
-quotient: The answer to the division problem.
-product: The answer to the multiplication problem.
-power: The number of times a base number its multiplied by itself.
Task Analysis:
There are four rules:
-product of power property: to multiple powers having the same base, add the exponent.
-power of power property: to find the power multiply the exponents.
-qoutient of power property: To divide powers having the same base, subtratct the exponents.
-power or the product or quotient property: To find a power of a product or quotient, distribute the exponents over the factors.
Examples:
-product of power: 3^2 * 3^5= 3^(2+5)= 3^7
-power of power: (5^2) ^4= 5^(2*4) =5^8
-quotient of powers: 6^5/6^4= 6^(5-4)= 6^1= 6
-power of a product or quotient: (2/3)^2= 2^2/3^2
For more information visit:
-http://www.algebralab.org/
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