Exponent And Radical Expressions Worksheets With Answer Keys Page 5
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1
2
3
4
5
611/6
x
209 1/66
1a. Simplify the exponential expression:
x
8
x
1/3
1b. Solve for x: 3x
+ 33 = 42
2x
4
2a. Rationalize the denominator:
x + 1
9/5
19x
2
2b. Rationalize the denominator so that it is an integer power of x:
3/5
x
2
4
10
3
3. Simplify (reduce) the radical expression:
x
y
x
y
=
kx
4. Rewrite the expression in the form 11
, for a suitable constant k.
3x
6x
11
11
5. Simplify and Rewrite the following as a single radical.
4
3
6a. Factor the greatest common factor 21 11 + 15 55
3
6/5
5
5/2
6b. Factor the greatest common factor 38d
x + 19x
y
19 xz
11 5
2 5
2
7
1
3
2x
2x 4
19x
2x
5
ANSWERS: 1) a)
b)3
= 27 2a)
2b)
3) xy
x
x+1
x
8 3
x
4
5
36
35
36
3x
6x
7
5
35
4) k =
;
11
11
= 11
5)
4
3
=
3, 981, 312
5
5
3
5
5/2
5
6a) 3 11
7 + 5 5
6b) 19
x
2d
+ xy
z
5
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