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Radicals and Rational Exponents.pdf
- 1. ©a X2T0I1q2a pKhuRtaa0 lSAojf2tjw6a2rkeE rLxLZCg.W A 4Akl2ll 0rwiVgChPtlso hrSemsTeurOvZeqdp.7 o oMia2dKeK 7wLijtuhF AIUnNf4iBnyi0t2eU GAHlGgBe4blrGaj n2y.i Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Radicals and Rational Exponents
Write each expression in radical form.
1) 7
1
2
2) 4
4
3
3) 2
5
3
4) 7
4
3
5) 6
3
2
6) 2
1
6
Write each expression in exponential form.
7) ( 10)3
8)
6
2
9) ( 4
2)5
10) ( 4
5)5
11)
3
2 12)
6
10
Write each expression in radical form.
13) (5x)
−
5
4
14) (5x)
−
1
2
15) (10n)
3
2
16) a
6
5
-1-
- 2. ©P F2Q011P21 rKDuUtoaN rSQoqfft8wGarrQes 3LILsC6.E j dAkldl0 XrCilgFhEtTsS KrseksWeJrhvFexdS.u Y BMjajdYe7 RwZigtUhB RIUnJfSiNn5iatzeO mAil2gVewb2rNaM 22U.g Worksheet by Kuta Software LLC
17) (6v)1.5
18) m
−
1
2
Write each expression in exponential form.
19) ( 4
m)3
20) ( 3
6x)4
21)
4
v 22) 6p
23) ( 3
3a)4
24)
1
( 3k)5
Simplify.
25) 9
1
2
26) 343
−
4
3
27) 1000000
1
6
28) 36
3
2
29) (x6
)
1
2
30) (9n4
)
1
2
31) (64n12
)
−
1
6
32) (81m6
)
1
2
-2-
- 3. ©J B2u0r1D2s 1K3uGt1aW MSBoKfBtYwlaurxeL iLMLMC3.6 x dAbl0lu arviMgAhGtjsX Frde7s9eMrbvjeAdY.y E 1MHaXdmep MwviRtRhS KIKn5fjiAnYiFt6eR aAhlFgCeob5rxaf n2P.2 Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Radicals and Rational Exponents
Write each expression in radical form.
1) 7
1
2
7
2) 4
4
3
( 3
4)4
3) 2
5
3
( 3
2)5
4) 7
4
3
( 3
7)4
5) 6
3
2
( 6)3
6) 2
1
6
6
2
Write each expression in exponential form.
7) ( 10)3
10
3
2
8)
6
2
2
1
6
9) ( 4
2)5
2
5
4
10) ( 4
5)5
5
5
4
11)
3
2
2
1
3
12)
6
10
10
1
6
Write each expression in radical form.
13) (5x)
−
5
4
1
( 4
5x)5
14) (5x)
−
1
2
1
5x
15) (10n)
3
2
( 10n)3
16) a
6
5
( 5
a)6
-1-
- 4. ©l P2R0a1I2E SKluatZaK 3SEowfZt9wUaurueS pLnLwCP.b 7 OAmlxlT QrIiJgKh5tqsj arjeLsteWrWvFeJdf.9 p VMRaxdJe0 5wviptnhY RIUnKfriWn7i1tHe1 4A7lzgdecb9rDad q22.T Worksheet by Kuta Software LLC
17) (6v)1.5
( 6v)3
18) m
−
1
2
1
m
Write each expression in exponential form.
19) ( 4
m)3
m
3
4
20) ( 3
6x)4
(6x)
4
3
21)
4
v
v
1
4
22) 6p
(6p)
1
2
23) ( 3
3a)4
(3a)
4
3
24)
1
( 3k)5
(3k)
−
5
2
Simplify.
25) 9
1
2
3
26) 343
−
4
3
1
2401
27) 1000000
1
6
10
28) 36
3
2
216
29) (x6
)
1
2
x3
30) (9n4
)
1
2
3n2
31) (64n12
)
−
1
6
1
2n2
32) (81m6
)
1
2
9m3
-2-
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