To raise a power to a power. multiply the exponents. ex. (2+2)4= 44= 256 power rule can be applied to both products and quotients
Category: Unit 1: Square Roots, Powers and Exponent Laws
1.6: Exponent Laws
If the exponent have the same base all raised to the same power, it will equal ‘1’ Anything to the power of 0 will always equal ‘1’ when there is an exponent multiplying another exponent with the same base, add the exponents to simplify it when there is an exponent dividing another exponent with the…
1.5: Orders of Operations
B Brackets E Exponents D Division M Multiplication A Addition S Subtraction Brackets are the top priority for order of operations. If there are bigger brackets around another set of brackets, work from inside out Exponents are below brackets. If there are no brackets, do exponents first, and if there are brackets, do the brackets…
1.4: Defining a Power
Exponential Notation: ex. 2x2x2x2x2 = 25 ex. 2x2x2x2x2x2= 26 ex. 2x2x2x2x2x2x2= 27 Notes: Even number of negative signs= positive number Odd number of negative signs= negative number –26 is ONLY putting the ‘2’ to the power of 5, NOT the negative. Therefore, the answer would still be negative because (-)(2)(2)(2)(2)(2)(2) = -64 (-2)6 is putting…
1.3: Square Roots of Non-Perfect Squares
Non Perfect Squares: numbers that can’t be multiplied into by two of the same rational numbers Ex. √48, √33, √6 These numbers are non-perfect squares because no numbers can multiply into it by itself (2×2 won’t work, 3×3 won’t work, 4×4 won’t work, 5×5 work work etc.) non-perfect squares are considered to be irrational
1.1: The Real Number System
Natural Numbers: Positive Whole Numbers (no decimals or fractions) NOT INCLUDING ‘0’ ex. 1,2,3,4,5,6,7,8,9,10,11……….. Whole Numbers: Positive Whole Numbers (no decimals or fractions) INCLUDING ‘0’ ex. 0,1,2,3,4,5,6,7,8,9,10,11……….. Integers: All Whole Numbers (no decimals or fractions) that are positive or negative. ex. -5,-4,-3,-2,-1,0,1,2,3,4,5 Rational Numbers: Any numbers that can be turned into a fractions. ex. 2,…
1.2: Square Roots
Perfect Square: A number with a rational square root. Exponents: The exponent is the smaller number on top of the bigger number, tells you how many times to multiple the base number by itself. Eg. 54. In this case, the ‘4’ is the exponent. Base: The Base is the bigger number. It is what you…