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# Exponents and power

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### Exponents and power

1. 1. PRESENTED BY GROUP 1 CLASS 8th &quot;B&quot; SUBJECT -MATHS
2. 2. TOPIC EXPONENTS AND POWER
3. 3. <ul><li>a number written as </li></ul><ul><li>a base number with an exponent </li></ul><ul><li>BASE EXPONENT </li></ul><ul><li>LIKE THIS: </li></ul><ul><li>2 SAY 2 TO THE 5 th POWER </li></ul>POWER-
4. 4. <ul><li>THE REPEATED FRACTION IN A </li></ul><ul><li>MULTIPLICATON PROBLEM </li></ul><ul><li>BASE = POWER </li></ul><ul><li>FACTOR * FACTOR * FACTOR = PRODUCT </li></ul><ul><li>2 * 2 * 2 = 8 </li></ul>BASE -
5. 5. <ul><li>THE NUMBER OF TIMES BASE IS MULTIPLIED BY ITSELF </li></ul><ul><li>2 </li></ul><ul><li>2 {1 st time} * 2 {2 nd time} * 2 {3 rd time} = 40 </li></ul>EXPONENT-
6. 7. POINTS TO REMEMBER
7. 8. <ul><li>2 SAY 2 TO THE 2 nd POWER OR </li></ul><ul><li>TWO SQUARED </li></ul><ul><li>MOST MATHEMATICIAN SAY TWO </li></ul><ul><li>SQUARED </li></ul><ul><li>2 = 2 2 = 4 </li></ul>SQUARED= BASE 2
8. 9. <ul><li>2 SAY 2 TO THE 3 rd POWER OR TWO CUBED </li></ul><ul><li>MOST MATHEMATICIANS SAY </li></ul><ul><li>TWO CUBED </li></ul><ul><li>2 = 2 2 2 =8 </li></ul>CUBED = BASE 3
9. 10. <ul><li>THE BASE IS ANY NUMBER BUT 0,THE ANSWER IS 1. </li></ul><ul><li>2 =1 </li></ul><ul><li>4,638 =1 </li></ul><ul><li>ANY NUMBER {except the number 0} =1 </li></ul><ul><li>0 =UNDEFINED </li></ul>WHEN EXPONENT IS O !
10. 11. THE ANSWER IS THE SAME NUMBER AS THE BASE NUMBER 2 =2 4,638 =4,638 ANY NUMBER =THE SAME BASE 0 =0 THE EXPONENT 1 IS USUALY INVISIBLE WHEN THE EXPONENT IS 1 !
11. 12. <ul><ul><li>Write out the original problem. </li></ul></ul><ul><ul><li>Show the substitution with parentheses. </li></ul></ul><ul><ul><li>Work out the problem. </li></ul></ul>= 64 SUBSITUTION AND EVALUATING STEPS
12. 13. PRODUCT OF POWERS POWER TO A POWER POWER OF PRODUCT ADD THE EXPONENTS MULTIPLY THE EXPONENTS MULTIPLICATION PROPERTIES
13. 14. This property is used when dividing two or more exponential expressions with the same base. DIVISION PROPERTIES QUOTIENT OF POWER
14. 15. Q1}Evaluate the variable expression when x = 1, y = 2, and w = -3 ? Step 1 Step 2 Step 3 Step 1 Step 2 Step 3 Step 1 Step 2 Step 3
15. 17. THANKYOU