Section 7.3 ~ Multiplication Properties of Exponents Packet

1 ~ Section ~ Multiplication Properties of Exponents Packet Warm Write each expression using an exponent. 1. 222 2. xxxx 3. 33xxxyyyy Write each expression without using an exponent. (expand the expression, do not simplify) 4. 34 5. 53xy 6. 3 6 57ab You have seen that exponential expressions are useful when writing very small or very large numbers. To perform operations on these numbers, you can use Properties of Exponents . You can also use these Properties to simplify your answer. In this lesson, you will learn some Properties that will help you simplify exponential expressions containing Multiplication . na The number a is the _____, and the number n is the _____. The expression na is called a power and is read a to the nth power.

2 TLW be able to use the Multiplication Properties of Exponents with variables of the same base TLW think whoa check out that hoodie wonder if I could be a hoodie model too TLW use Multiplication Properties of Exponents to evaluate and simplify expressions. Let s try some Simplify each expression using the product of powers property. Do not evaluate numbers raised to a ridiculous power. 1. 44222 3 2 3 2. 3 2 6qrq 3. 34nnn 4. 8477 5. 38423 5 3 5 6. 45nmn Let s try some Simplify each expression using the power to a power property of Exponents and evaluate where appropriate. 1. 334 2. 534xx 3. 543 4. 526 5.

3 4332aa 6. 32y 7. 263xy 8. 225t 9. 34p GUIDED PRACTICE Simplify each expression using the swell new Properties of Exponents you just learned. 1. 432ccc 2. 12325xxy 3. 2133 4. 2344 5. 5332mm 6. 322 35xxx 7. 2 3425abab 8. 117x 9. 92 4 324xyxyz 10. 0245st 11. 2910 10 12. 545 13. 232x 14. 25a 15. 216 2 16. 323xxx 17. 2431aa 18. 0305,438,111x 19. 322xyx 20. 22abab Name: _____ Date: _____ Period: _____ Multiplication Exponents WS (1) Math is Exponentially Awesome Simplify each expression using Properties of Exponents . Evaluate where appropriate. 1. xx _____ 2.

4 2yy _____ 3. 57nn _____ 4. 3nn _____ 5. 519xx _____ 6. 423xx _____ 7. 39y _____ 8. 42nn _____ 9. 34yy _____ 10. 287y _____ 11. 232xy _____ 12. 2275xyx _____ 13. 323xy _____ 14. 2 7 3 5mnmn _____ 15. 24xy _____ 16. 224rt _____ 17. 5828mnmn _____ 18. 32yy _____ *19. 22 2333ababab _____ *20. 3031442,501,2222xy _____ Name: _____ Date: _____ Period: _____ Multiplication Exponents WS (2) Math is Lovely Simplify each expression using Properties of Exponents . Evaluate where appropriate. 1. 323xx _____ 2.

5 243yy _____ 3. 354n _____ 4. 223162nn _____ 5. 123xx _____ 6. 3472x _____ 7. 99y _____ 8. 4232nn _____ 9. 3445yy _____ 10. 233y _____ 11. 391273yy _____ 12. 32abcabc _____ 13. 16361313yy _____ 14. 21428xx _____ 15. 235xy _____ 16. 0347 448,000,124xyz _____ 17. 5 831147mnmn _____ Name: _____ Date: _____ Period: _____ Multiplication Exponents WS (3) Math is Heroic Simplify each expression using Properties of Exponents . Evaluate where appropriate. 1. 2234xx _____ 2. 2244xx _____ 3. 228ab _____ 4.

6 224164nn _____ 5. 312352xx _____ 6. 42ab _____ 7. 342yyy _____ 8. 1310 10 _____ 9. 223199aab _____ 10. 3 2 2( 9 )xy _____ 11. 423abc _____ 12. 3 72 564mnmn _____ 13. 22103xyx _____ 14. 0506 506$!&% _____ 15. 222225twtw _____ 16. 0436 !@#$% & _____ Name: _____ Date: _____ Period: _____ Exponents M & N Review SIMPLIFY AND REWRITE THE FOLLOWING EXPRESSIONS USING POSITIVE Exponents ONLY. 1. 696xx 1. _____ 2. 482x 2. _____ 3. 43x 3. _____ 4. 355x 4. _____ 5. 10979xx 5. _____ 6. 436x 6. _____ 7. 237x 7.

7 _____ 8. 21045x 8. _____ 9. 265x 9. _____ 10. 532xy 10. _____ 11. 19190x 11. _____ 12. 18134x 12. _____ 13. 614127xx 13. _____ 14. 39x 14. _____ 15. 2 9 4 3()rst 15. _____ *16. 32 41(4 )2ww 16. _____ *17. 92 1326xyx 17. _____ *18. 3945312abcbc 18. _____ 19. 42339595 19. _____ Name: _____ Date: _____ Period: _____ Exponents Super Quiz Review SIMPLIFY AND REWRITE THE FOLLOWING EXPRESSIONS USING POSITIVE Exponents ONLY. 1. 128xx 1. _____ 2. 322x 2. _____ 3.

8 2211x 3. _____ 4. 2583xy 4. _____ 5. 325xx 5. _____ 6. 8420xyz 6. _____ 7. 43112xy 7. _____ 8. 273107xx 8. _____ 9. 22515 6xy 9. _____ 10. 48x 10. _____ 11. 32( 12 )ab 11. _____