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# Study Math FFE

### Chap. 4 Expon.

Rules for Divisibility 2- ends with even # 3- sum of digits ÷ 3 4- last 2 #'s ÷4 5- ends in 5 or 0 6- if ÷ by 2 & 3 8- last 3 #'s ÷ 8 9- sum of digits ÷ 9 10- ends with 0
Factors Numbers that divide evenly into another number
Order of Operations PEMDAS
Exponent Writing repeated multiplication times you multi. the number by itself
Base →2²
(-3)² means Positive
-3² Negative
Prime Numbers Any number that has 2 factors (1 & itself)
Composite Numbers Any number that has 3 or more factors
GCF Greatest Common Factor largest number divisible by 2 or more numbers
Variable GCF (x²y⁵xy³) xy³
Prime Factorization Use prime trees
Finding Prime Factorization using GCF (78 124) Make prime tree, then find like terms and simplify.
Simplifying Variable Expressions 12x²y⁵/8x⁴y² 20x⁶y⁷
Rational Numbers Any number that can be written in the form a/b where b does not equal 0
Negative Rational Numbers Write with the negative sign either out side the fraction or with the numerator.
Multiplying Exponent Rule Multiply powers with the same base
Power of Power Rule Multiply the exponents
Zero Exponent Rule Any number written to the zero power the answer is always 1
Negative Exponent Rule Rewrite with reciprocal with positive power.
Write with negative exponents 5^-3 (3)^-2
Rewrite without a fraction bar Write in all one line, then combine like terms. x³y²/a²b³= x³y²a²b³
Rewrite without zero or negative exponents and simplify x^-3y²z⁰/x^-2y^-3=x²y³y²/x³= xy
Created by: heifer47