exponents and powers
TRANSCRIPT
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a number written asa base number with an exponent BASE EXPONENT
LIKE THIS:
2 SAY 2 TO THE 5th POWER
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THE REPEATED FRACTION IN A MULTIPLICATON PROBLEM
BASE = POWER
FACTOR * FACTOR * FACTOR = PRODUCT 2 * 2 * 2 = 8
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THE NUMBER OF TIMES BASE IS MULTIPLIED BY ITSELF
2
2{1st time} * 2{2nd time} * 2{3rd time} =40
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81)3333(34 means
81)3()3()3()3()3( 4 means
27)333(33 means
27)3()3()3()3( 3 means
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2 SAY 2 TO THE 2nd POWER OR
TWO SQUARED MOST MATHEMATICIAN SAY TWO SQUARED
2 = 2 2 = 4
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2 SAY 2 TO THE 3rd POWER OR TWO CUBED
MOST MATHEMATICIANS SAY TWO CUBED
2 = 2 2 2 =8
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THE BASE IS ANY NUMBER BUT 0,THE ANSWER IS 1.
2 =1
4,638 =1 ANY NUMBER {except the number 0} =1
0 =UNDEFINED
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THE ANSWER IS THE SAME NUMBER AS THE BASE NUMBER
2 =24,638 =4,638
ANY NUMBER =THE SAME BASE0 =0
THE EXPONENT 1 IS USUALY INVISIBLE
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1. Write out the original problem.2. Show the substitution with parentheses.3. Work out the problem.
3;4: xxifSolveExample
3;4 xxifSolve
3)4( = 64
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PRODUCT OF POWERS baba xxx
POWER TO A POWER baba xx
POWER OF PRODUCTaaa yxxy )(
ADD THE EXPONENTS
MULTIPLY THE EXPONENTS
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This property is used when dividing two or more exponential expressions with the same base.
))()(())()()()((
3
5
xxxxxxxx
xx
2
1))(( xxx
7434
34
3
4
3 11111
xxxx
xxx
xx
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Q1}Evaluate the variable expression when x = 1, y = 2, and w = -3 ?
22 )()( yx
22 )()( yx
22 )2()1(
541
Step 1
Step 2
Step 3
2)( yx
2)( yx
2)2()1(
9)3( 2
Step 1
Step 2
Step 3
ywx
ywx
2)1)(3(
Step 1
Step 2
Step 3
3)1)(3(
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