Date post: | 14-Jan-2015 |
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a number written asa base number with an exponent BASE EXPONENT
LIKE THIS:
2 SAY 2 TO THE 5th POWER
THE REPEATED FRACTION IN A MULTIPLICATON PROBLEM
BASE = POWER
FACTOR * FACTOR * FACTOR = PRODUCT 2 * 2 * 2 = 8
THE NUMBER OF TIMES BASE IS MULTIPLIED BY ITSELF
2
2{1st time} * 2{2nd time} * 2{3rd time} =40
81)3333(34 means
81)3()3()3()3()3( 4 means
27)333(33 means
27)3()3()3()3( 3 means
2 SAY 2 TO THE 2nd POWER OR
TWO SQUARED
MOST MATHEMATICIAN SAY TWO
SQUARED
2 = 2 2 = 4
2 SAY 2 TO THE 3rd POWER OR
TWO CUBED
MOST MATHEMATICIANS SAY
TWO CUBED
2 = 2 2 2 =8
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
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
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
PRODUCT OF POWERS baba xxx
POWER TO A POWER baba xx
POWER OF PRODUCTaaa yxxy )(
ADD THE EXPONENTS
MULTIPLY THE EXPONENTS
This property is used when dividing two or more exponential expressions with the same base.
))()((
))()()()((3
5
xxx
xxxxx
x
x 2
1
))((x
xx
7434
34
3
4
3 11111
xxxx
xxx
x
x
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(
17