Download - Radical Mathematics
Radical Mathematics
Rational Exponents vs Radical Form.
3 2x32
x
2 4x24
x4 20x4
20
x
Rational Exponents vs Radical Form.
4921
49
3 2731
27204 )( x4
20
x
3 2x32
x ROOTROOT
Power
Power
23 x32
x ROOTROOT
Power
Power
34
8
Note how many different ways rational exponents can be written! AND they all mean
the same thing!!!!!!
4
31
8
31
48
32
27
Note how many different ways rational exponents can be written! AND they all mean
the same thing!!!!!!
2
31
27
31
227
Find the Indicated real nth root (n) of a.
n = 3, a = -27
31
27 3 27- or
Using your calculator……
5 815 :INDF5 2nd Ʌ 815 =
3.82
Using your calculator……
5 815 :INDF52nd yx815 =
3.82
Without using your calculator……
23
25 :INDF
ROOT it! THEN POWER it!
Without using your calculator……
43
16 :INDF
ROOT it! THEN POWER it!
Without using your calculator……
32
27- :INDF
ROOT it! THEN POWER it!
Without using your calculator……
23
25 :IND
FROOT it! POWER it! Then FLIP it!
. 125
1 is 125 125. is 5 5. is 25 ofroot Square 1-3
Without using your calculator……
43
16 :IND
FROOT it! POWER it! Then FLIP it!
. 81 is 8 8. is 2 2. is 16 ofroot Fourth 1-3
Without using your calculator……
32
27- :INDF
ROOT it! THEN POWER it!
Radicals Upgraded!
YOU know……………
44 52 47When we multiply LIKE bases
we ADD exponents.
452 410
When we raise a base to a power we MULTIPLY exponents.
YOU know……………
6
5
x3x
x3
When we divide bases we subtract exponents of like bases.
SO…..What if…………..
44 75
32
When we multiply LIKE
bases we ADD exponents.
So we just add the fractions!
4 75
32
4 2129
Yeah,
there’s more…
457
32
When we raise bases
to a power we multiply exponents.
So we just multiply the fractions!
4 1514
Yeah,
there’s more…
4
4
51
32
When we divide LIKE bases we
Subtract exponents.
4 57
Yeah,
there’s more…
51
32
4
77 75
41
7 75
41
7 2827
773
753
2
41
13
75
32
41
7 7
715
122
7 7 7 715
122
7 84194
31
54
Yeah,
there’s more…
31
31
5
4
