Rules of Exponents Guided Notes - Paulding County School ...

1 Rules of Exponents Guided Notes Algebra Standards: Rules of Exponents I rewrite expressions involving rational Exponents using the properties of Exponents . Vocabulary: Monomial A number, a variable, or a product of a number and one or more variables Examples: 34xy, 7a2b Power 52 exponent Base Rules of Exponents : Product of Powers: nmnmaaa If multiplying two numbers with the same base, ADD the Exponents 6255 yyy 34 )6)(7(5yy )5)(3(672xyyx Quotient of Powers: nmnmaaa If dividing two numbers with the same base, SUBTRACT the Exponents yy6 21366 95971510baba Rules of Exponents Zero exponent :10 a Any nonzero number with an exponent of zero is equivalent to 1 WHY?

2 ? Let s explore 0)73( x 580 x Negative exponent nnaa1 For any nonzero number a raised to a negative exponent , place the power in the denominator to rewrite the power with a positive exponent WHY?? Let s Explore 32 3)3( Rules of Exponents Power of a Power: nmnmaa )( If raising a power to a power, multiply the Exponents Examples: Simplify. Write each answer using only positive Exponents : 82)(x 43)( y Power of a Product: mmmbaab )( Find the power of each factor in the parenthesis and multiply 334yzx 227 xy 20766 zyx Power of a Quotient: mmmbaba For any numbers a and b where b 0, if the quotient of a and b is raised to a power, raise both the numerator and the denominator to the given power 253 2752 ba 3743 ba 61152 cba Rules of Exponents I hope you enjoyed the Rules of Exponents Guided Notes !

3 You may also enjoy the Rules of Exponents Reference Sheet or Rules of Exponents : Different Question/Same Answer Partner Activity, which are both available in my store. Come back soon!! Elizabeth Kissel Thanks for Shopping!!!